Arsenal kept alive their slim hopes of securing a Champions League spot next season with a 2-1 Premier League victory at Middlesbrough on Monday that left the hosts in deep danger of relegation.
Giroud, who has scored once in 10 league appearances this season, netted in France's friendly win over Wales last Friday.
Petr Cech helped the Gunners enjoy a rare victory over Jose Mourinho's side on Sunday.
Alex Ferguson, the most successful manager in Manchester United's history, underwent emergency surgery on Saturday for a brain haemorrhage, the club said.
Arteta, who will lead City in their Champions League opener against Olympique Lyonnais on Wednesday because manager Pep Guardiola is suspended, also said that his team were better placed to challenge for top European honours this season.
Chelsea ripped apart Premier League title rivals Arsenal in a 6-0 mauling at Stamford Bridge on Saturday to ensure Arsene Wenger's 1,000th game turned sour and Liverpool and Manchester City kept up the pressure with big wins.
Mesut Ozil's unhappy spell continued on Tuesday when the Arsenal and Germany midfielder suffered an injury against Bayern Munich that manager Arsene Wenger said is likely to keep him out for several weeks.
Chelsea manager Jose Mourinho is "disrespectful" and a "bully" for describing Arsene Wenger "a specialist in failure", former Arsenal goalkeeper Bob Wilson said on Sunday.
Arsenal kept up their 100 percent home record this season with a 2-0 win over West Bromwich Albion in the Premier League on Monday, with new club record signing Alexandre Lacazette grabbing both the goals.
Olivier Giroud proved the difference for Arsenal in a typically hard-fought 1-0 win over West Bromwich Albion on Monday, again demonstrating his worth to manager Arsene Wenger after spending the majority of the season on the substitutes' bench.
Van Gaal has been criticised for showing a lack of passion on the touchline but the Dutchman showed plenty.
Runaway Premier League leaders Manchester City beat champions Chelsea 1-0 at the Etihad Stadium on Sunday to extend their lead to 18 points and leave the London side further adrift from the Champions League qualification spots.
Mesut Ozil guided Arsenal to a 2-0 victory over Napoli while a late Cesc Fabregas header gave Barcelona a laboured 1-0 win at 10-man Celtic in the Champions League on Tuesday.
Arsenal re-established themselves as serious contenders for their first Premier League title since 2004 with a comfortable victory at lowly Bournemouth on Sunday.
Liverpool manager Juergen Klopp is a fan of Leicester's playing style.
Arsenal captain Mikel Arteta will be out for the next three months after having a "successful" operation on the left ankle that has kept him sidelined since late November, the club said on Thursday.
England players Wayne Rooney, Phil Jones and Glen Johnson have withdrawn from the squad for the country's World Cup qualifiers against Moldova and Ukraine through injury, the FA said on Sunday.
Lukas Podolski's transfer to Inter Milan moved closer on Saturday when the Germany forward met coach Roberto Mancini.
West Ham United manager Sam Allardyce believes it is acceptable for players to "make a meal out of" contact if it helps them win penalties and free kicks.
The English Premier League boasts some of the top managers in the game but to see the best players in the world you have to watch Spanish soccer, Barcelona president Josep Bartomeu said.
Former World Cup winner and Arsenal's record goal-scorer Thierry Henry announced his retirement from soccer on Tuesday, bringing an end to his a glittering 20-year career.
Arsenal manager Arsene Wenger has reportedly given the green light to break the bank and spend 40 million pounds on controversial Liverpool striker Luis Suarez and the club is confident that Suarez will quit Liverpool for a sensational move to the Emirates.
FA Cup holders Arsenal have been drawn against runners-up Hull City, a repeat of last year's enthralling final, in this season's third round after the draw was made on Monday.
Arsenal have the players and qualities to challenge for the Premier League title and their failure to do so is frustrating, striker Alexis Sanchez has said.
Tottenham Hotspur's success in claiming a top-four Premier League finish on Wednesday to guarantee Champions League football next season has been a "massive achievement", manager Mauricio Pochettino said.
Goals rained in for Manchester City and Manchester United but Juergen Klopp's first game in charge of Liverpool was solid rather than spectacular with his new side drawing 0-0 at Tottenham Hotspur in the Premier League on Saturday.
'(The media reports are) completely false. But I understand that you have to fill the newspapers and we respect that'
FA Cup winners Arsenal beat champions Chelsea 1-0 in England's Community Shield season curtain-raiser at Wembley on Sunday to end a long wait for victory over their London rivals.
"This was one of the reasons why I took this opportunity. To train with all these personalities and this talent."
Bayern Munich and Arsenal meet in their big-name Champions League round of 16 first leg on Wednesday, both hoping European success will help lift mid-season gloom on their domestic fronts.
Arsenal snatched a dramatic 2-1 victory over Burnley to keep their title hopes on track after the referee Jon Moss awarded penalties to both sides and sent off home manager Arsene Wenger in injury time.
Arsenal's resurgent Alexis Sanchez scored twice to help ease their top-four jitters in a 2-0 victory over West Bromwich Albion in the Premier League at a less than full Emirates Stadium on Thursday.
Olivier Giroud scored the decisive spot kick as Arsenal beat Chelsea 4-1 in a penalty shootout to win the Community Shield at Wembley on Sunday.
The hosts struggled to break down Arsene Wenger's side despite enjoying the majority of possession and will feel hard done by after crafting the best of the game's few openings in a lively game at Stamford Bridge.
Salah was seen training with a protective cast on his forearm this week but Klopp dismissed any fresh injury concern relating to the Egyptian.
Arsenal's bid to win the FA Cup for a third successive year ended on Sunday when they lost 2-1 at home to Watford in a pulsating quarter-final tie.
Arsene Wenger will have more money to spend on players this summer after the club signed a new kit supply deal with German company Puma that begins on July 1.
News of all that's transpired on and off the football field
Manchester United stretched their winless Premier League streak to four games after their manager Jose Mourinho and midfielder Ander Herrera were sent off in a 0-0 home draw with Burnley on Saturday.
Olivier Giroud's rush of blood almost ruined Arsene Wenger's Christmas on Friday as the France forward's red card left Arsenal sweating towards the end of their 2-1 defeat of Queens Park Rangers.