The North London club's campaign began with a 2-0 defeat by champions Manchester City before they went down 3-2 at Chelsea last weekend. Fans and critics have questioned Emery's tactics in both matches and called for more solid defending.
The AC Milan striker wants to leave the Italian club and move to England, club owner Silvio Berlusconi said.
Paris St Germain will play Borussia Dortmund and Barcelona were pitted against an unpredictable Napoli, while Chelsea were drawn against Bayern Munich. City, who will be at home in the second leg, have yet to beat the Spanish side with two draws and two defeats in their previous four meetings.
Here are five talking points from the weekend's Premier League action:
Manchester City thrashed Southampton 6-1 to remain top of the Premier League.
Arsenal manager Arsene Wenger said he would consider signing the Romanian striker once he has served any ban.
News of all that transpired on and off the field.
LeicesterCity boss Claudio Ranieri has been named the Premier League manager of the month for April, while ManchesterCity striker Sergio Aguero has won the award for the players.
Images from the UEFA Champions League matches played on Tuesday night.
The injury to the Chile forward, who was left out of the squad for Tuesday's Champions League victory over Young Boys, "will require further investigation to confirm its severity", the club added.
Juventus rehire Allegri.
The 46-year-old Norwegian has guided United to 14 wins in 19 matches in all competitions as caretaker boss since replacing the sacked Jose Mourinho in December.
The sporting world, from football giants Manchester United to glamorous tennis star Maria Sharapova, has united to help raise money for victims of Asia's tsunami disaster.
Spanish playmaker Mata, 31, joined United in 2014 for a then club record transfer fee of 37.1 million pounds ($46.86 million) from league rivals Chelsea.
'Nobody is for sale that we don't want to sell and so he is not for sale in this window. We have said it more than once'
New Bayern Munich manager Carlo Ancelotti has no plans to rip up the foundations laid by predecessor Pep Guardiola and says he will look to continue the club's tradition of attacking football when the season kicks off in August.
Zlatan Ibrahimovic is sure he will win the Premier League with Manchester United and says his performances will improve once he picks up the rhythm of the English game.
Following is a match by match look at the English Premier League's weekend fixtures:
Steven Gerrard will not be sold against his will even if Liverpool are offered 50 million pounds ($93.51 million) for him, the Premier League club's chief executive Rick Parry said on Monday.
'It would be a bit ridiculous that 20 years depends on one game and that the future of the club depends on one game'
Manchester City's Abu Dhabi-controlled owner has agreed to sell a $500 million stake to US private equity firm Silver Lake, making it the world's most valuable soccer group with a $4.8 billion price tag.
Arsenal manager Arsene Wenger has called on the Football Association (FA) to ban players who dive in order to rid the game of play acting to win free kicks or penalties.
Rafa Benitez has been sacked as coach of Real Madrid, according to reports in the Spanish press. Sunday night's 2-2 draw with Valencia has proved to be the final straw for president Florentino Perez with the club likely to confirm the news soon. France legend Zinedine Zidane - the coach of Real Madrid's second team, Castilla - is expected to take over.
Liverpool moved into the Champions League qualifying spots after a 3-0 win at Burnley on Wednesday took them above Leicester City and into fourth place with one round of Premier League matches remaining.
Manchester United have appointed Jose Mourinho as their manager, the Premier League club said on Friday.
Leicester City striker Jamie Vardy has given the Premier League champions further encouragement that he will stay with them next season by saying he is happy at the club.
Cesc Fabregas might have been "Made in Arsenal" but all that matters for his manager Jose Mourinho is that he has been playing "phenomenal" football for top-of-the-table Chelsea.
Manchester United's Spanish international midfielder Juan Mata has admitted in an interview that he and other professional footballers earn "obscene" amounts of money and "live in a bubble".
News of all that's transpired on and off the football field.
Bristol City, from English football's second-tier, pulled off a sensation in the League Cup quarter-finals as they knocked out the holders Manchester United 2-1 amid late and wholly improbable drama at their Ashton Gate home on Wednesday.
Manchester City chalked up yet another victory to maintain their stranglehold of the Premier League title race but pursuers Manchester United and Leicester City both secured important wins to enhance their top-four bids on Sunday.
Cristiano Ronaldo and Lionel Messi will again be duelling for the title of world's best footballer after their names once again headed the shortlist on Thursday for The Best FIFA Men's Player.
News of all that's transpired on and off the football field.
But such was Pep Guardiola's team's domination of the Premier League last season that reinforcements hardly seemed necessary and the solitary addition of Riyad Mahrez makes an already potent attack even more fearsome.
Eden Hazard has come under fire for some underwhelming performances and was benched by Jose Mourinho during Chelsea's woeful start to the campaign, but the Belgian says there is no problem with his manager and backed him to turn things around.
Lionel Messi has become the first player to win Europe's Golden Shoe award for three straight years after his nearest challenger Kylian Mbappe failed to score the four goals he needed in Paris St Germain's final league match of the season on Friday.
With no Champions League football for a third straight season, the financial realities are starting to bite and Arsenal will be desperate for some of their talented youngsters to come through.
A round-up of Tuesday's action in the UEFA Champions League.