Nasri was making his Premier League debut for the club as he continues his comeback from an 18-month ban for receiving an intravenous treatment at a Los Angeles clinic in December 2016, contravening World Anti-Doping Agency rules.
West Ham are interested in Bournemouth striker Callum Wilson as a potential replacement for Marko Arnautovic.
Ozil is the best-paid player at Arsenal but has not fitted into Emery's system yet, with suggestions that the club are prepared to offload him.
Declan Rice made headlines yesterday when he scored the victor for West Ham in their derby against Arsenal, putting the icing on an accomplished midfield display.
Arsenal were unable to muster a clear cut chance in response, although leading scorer, Pierre Emerick-Aubameyang fired over when he could have done better.
He's bagged seven goals in 16 league games so far this season, but earlier this week the club were rocked by reports that he was set to leave for an unnamed China club for a reported £35million. From one corner, they scored, and then the match changed.
The victory takes West Ham to eighth place - level on points with Leicester in seventh.
Premier League rivals were already reported to be shooting admiring glances in the direction of the London Stadium at that stage, and the youngster has enhanced his reputation since then.
And he has warned the West Ham player that the English camp still see him as a candidate for central defence - whereas McCarthy has assured Rice that he plans to use him in his preferred central midfield role and build the team around him. He was more concerned at the time with getting his contract sorted out.