However, he has fallen down Solskjaer's pecking order and was at fault for the late goal the Red Devils conceded in their 2-1 defeat to Young Boys in the Champions League on Tuesday.
Man City defeated Bournemouth 2-1 in the Premier League at the Etihad Stadium in their previous game, while the Gunners also won 2-1 against Jurgen Klopp's Liverpool.
When asked about his future with the French club following this season, the World Cup winner was noncommittal beyond this year. "No, no, I'm calm. The only thing that matters to me this season is to win Ligue 1 and then we'll see.
However, the Super Eagles striker is yet to put pen to paper on a four-year deal that will see him earn around €2.5m per year. Napoli are offering Lille €60m for Osimhen, who netted 18 goals for the Ligue 1 side in his debut season.
We need to see more from Caicedo and Enzo - two really good players who need time. Broja is not at the Chelsea level," the retired footballer said in his latest Podcast episode. "I have my doubts on Jackson. We need a striker.
The Premier League is beginning to edge towards the business end of this season. This weekend, Match Day 24 fixtures will be played across the UK. Which four matches are we likely to see shock results? 1.
"If you are going on form, you can't see anything but a Man City win. If City get this game out of the way and don't lose, I don't see how they don't go through the whole league season without losing.
The 21-year-old has scored five goals and made two assists in 12 Premier League games so far this season and he featured for 86 minutes as Chelsea FC notched up a 2-1 on Wednesday.
Arsenal beat Burnley 3-1 while fellow Europa League finalists Chelsea were held to a goalless draw at Leicester. Ole Gunnar Solskjaer's Manchester United finished their season with a whimper, losing 2-0 at home to relegated Cardiff.
Arsenal will begin their campaign at the 2017/18 Premier League season on August 12 with a tough duel against former champions Leicester City at the Emirates. See Arsenal's 2017 pre-season fixtures below : 1.
Liverpool boss, Jurgen Klopp, has said Vincent Kompany should have been shown a red card, for a challenge on Mohamed Salah during Liverpool's 2-1 defeat to Manchester City.
Werner scored his fifth goal of the season in the Champions League on Tuesday night as Leipzig beat Real Madrid 3-2. Earlier in the evening, Pulisic was played as a right wingback in Chelsea's 2-1 victory over RB Salzburg.
They suffered their first defeat of the season when they lost 2-1 to Girona away from home while Athletic Bilbao forced them to 1-1 draw at the Camp Nou over the weekend.
Sheffield United became the first team to be relegated from the English Premier League this season after losing 5-1 to Newcastle United on Saturday, April 27.