Southampton's rich vein of form in the Premier League continued as they beat Burnley 3-1 with two goals from Charlie Austin on Sunday while another promoted side, Middlesbrough, fared just as poorly, losing 1-0 at home to Watford.
Ranieri had recognised his future at the West London side was uncertain after Wednesday's stinging 2-0 defeat at Southampton.
A summary of all the Champions League matches played across Europe on Wednesday
Arsenal manager Arsene Wenger spoke last week of his desire to keep the 24-year-old Oxlade-Chamberlain, who was also a target for champions Chelsea.
Premier League champions Chelsea eased past a disappointing Everton with goals from Spaniards Cesc Fabregas and Alvaro Morata sealing a 2-0 victory on Sunday.
In 12 appearances this season the red-hot Uruguay striker has scored 19 goals to fire Liverpool to the top of the Premier League. That is six more than his nearest rival, Argentina and Manchester City forward Sergio Augero.
Mario Balotelli is heading back to the Premier League. The Milan striker has agreed on a 16 million pounds (20 million euros) move to Liverpool.
FC Pune City also bolstered their defence by signing former Espanyol and Deportivo La Coruna defender Diego Colotto for the second edition of the eight-team league beginning on October 3.
Out-of-favour Liverpool striker Mario Balotelli will receive a six-figure loyalty bonus if he is still at the club when the transfer window closes on September 1, according to British media reports.
Steven Gerrard accused team mate Mario Balotelli of showing disrespect.
Eden Hazard scored from the spot in stoppage time to salvage a 2-2 draw for Chelsea against West Bromwich Albion, who were seconds away from inflicting a first Premier League home defeat on a Chelsea side managed by Jose Mourinho.
News of all that's transpired on and off the football field
Liverpool manager Juergen Klopp called for his players to "stay calm" and does not expect to expect wholesale changes against Burton Albion on Tuesday as they seek to quickly bounce back from their 2-0 defeat at Burnley.
Tottenham Hotspur's clash with Manchester United on Sunday will show whether manager Mauricio Pochettino made the right call when he sacrificed progress in Europe to focus on clinching Spurs' first Premier League title in 55 years.
Saturday's clash between Manchester United and Tottenham Hotspur at Old Trafford is already shaping up as an early-season eliminator to challenge runaway leaders Manchester City for the Premier League title.
Manchester City's all-conquering season reached new peaks as Sergio Aguero became the club's all-time top scorer with a decisive goal in a thrilling 4-2 victory at Napoli that put them into the Champions League last 16 on Wednesday.
Everton won 1-0 at bottom club Sunderland to leapfrog Arsenal into fourth place in the Premier League on Saturday and the battle at the other end of the table intensified with wins for three clubs in danger of relegation.
"We want to get back the trust and confidence in our own skills, in our quality. That needs time," he told reporters.
Match-by-match facts and statistics ahead of the Premier League
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.
News of all that's transpired on and off the football field
Mario Balotelli's misfiring career at Anfield took another turn for the worst against Real Madrid on Wednesday with a halftime shirt-swap that did not impress manager Brendan Rodgers.
Liverpool manager Brendan Rodgers has dismissed speculation about his job by saying he is the best man to lead the club and that he expects to be in charge next season.
Photos from the English Premier League matches played on Sunday
Christian Eriksen kept Tottenham Hotspur's hopes of completing a remarkable salvage job and reaching the last 16 of the Champions League alive with a late winner in his side's 1-0 victory over Inter Milan at Wembley on Wednesday.
While he never managed to win an English league title medal with Liverpool, Gerrard will forever be associated with the Champions League final in 2005 when Liverpool fought back from 3-0 down at halftime to win on penalties in Istanbul.
With less than a month of the Premier League season left it remains Chelsea's title to lose but Tottenham Hotspur defiantly stayed in contention by grinding out a 1-0 victory at Crystal Palace on Wednesday.
Italy striker Mario Balotelli has joined Liverpool from AC Milan on a "long-term" deal, the Premier League club said on Monday.
IMAGES from the English Premier League match played on Saturday
Chelsea ticked off three more points in their Premier League title quest with a 2-1 victory over Manchester City on Wednesday but Tottenham Hotspur's Houdini-like 3-1 win at Swansea means the race is far from over.
Jose Mourinho will have no qualms about frustrating entertainment-hungry Manchester United fans if it means securing a win on his return to Stamford Bridge on Sunday.
Images from the English Premier League matches played on Saturday
Manchester City beat Swansea 3-1 to make it a perfect 10 victories under Pep Guardiola, including six in the Premier League, as they recorded their best start to a top-flight campaign. City's victory was the perfect riposte to the Spaniard's old rival Jose Mourinho, who earlier saw his remodelled Manchester United sparkle without the dropped Wayne Rooney, thumping Premier League champions Leicester City 4-1. On a day of goals, both Manchester sides were outscored by Liverpool, who crushed Hull City 5-1 to take their tally to 24 in the past eight games.
News of all that's transpired on and off the football field
Manchester City failed in an audacious transfer deadline day move for Leicester City midfielder Riyadh Mahrez, British media reported on Wednesday.
Successive home defeats by leaders Leicester City and second placed Tottenham Hotspur have left City six points off the pace with serious doubts about whether their expensively-assembled squad is still playing for the manager.
Premier League champions Chelsea, beginning to find their form under Guus Hiddink after a shocking start to the season, will face Manchester City in the outstanding tie of the FA Cup fifth round following Sunday's draw.
Atletico Madrid fell to their heaviest league defeat of the season
Liverpool manager Brendan Rodgers was adamant that he did not regret his team selection despite falling to a fifth Premier League defeat against table-topping Chelsea on Saturday.
Baseline, a sports marketing, entertainment and licensing start-up company, has facilitated Liverpool Football Club to launch of the Club's first full-time coaching programme in the United Arab Emirates.