Juergen Klopp's priority is protecting a 5-2 advantage over Roma in the Champions League semifinals when it travels to Italy for the second leg on Wednesday.
Wenger added that he will not commit to another job while employed by Arsenal, and would not be helping the club in its search for a new manager.
Having already won a record 18 straight games this season, City is within reach of more milestones to underline one of the most stunning seasons in English soccer.
The win was only secured with a flurry of goals in the last 10 minutes, with Aaron Ramsey's strike followed by Alexandre Lacazette's double.
Hours after the 68-year-old coach announced he was stepping down at the end of the season, Gazidis was not giving anything away about the identity of the next occupant of the Arsenal dugout.
Through the thick and thin, Wenger has bared it all. The criticism, the scrutiny, the immense pressure, the Frenchman has seen and achieved it all as an era after 22 years, comes to a glorious end.
Coming off a superb win against the league leaders in the previous weekend, Mourinho's Reds faltered against a determined West Brom, who had nothing to lose.
It was Manchester City's third title in seven seasons - and fifth in its history - and easily its most convincing.
Manchester City clinched the title without even playing on Sunday when Manchester United, their nearest challengers, surprisingly lost 1-0 at home to last-place West Bromwich Albion.
A side meticulously molded and prepared by Pep Guardiola won a record 18 straight Premier League games from August to late December, and they've put up plenty more impressive numbers.
Manchester City won the Premier League title without even playing on Sunday when nearest challenger Manchester United surprisingly lost 1-0 at home to last-place West Bromwich Albion.
The victory kept alive fifth-place Chelsea's slim hopes of qualifying for next season's Champions League as the gap between Spurs and the Blues is seven points.
This game was the clearest indication yet that Arsene Wenger is now prioritizing the Europa League with victory in the competition securing a route into the Champions League.
The former Crystal Palace and Newcastle United manager was appointed in November and has lead West Brom to only one victory till date.
With two goals, Dele Alli answered his critics and ended his team's 28-year victory drought at Chelsea.
Chelsea won't only be surrendering the Premier League trophy to Manchester City but facing a season out of Europe's elite competition.
Liverpool capitalised by securing all three points with Salah's 84th-minute effort to maintain their pursuit of a second-place finish.
Tottenham moved into third, a point above Liverpool, and five points clear of fifth-place Chelsea with eight games remaining in the race for Champions League qualification.
As West Ham scraps to stay in the Premier League, sitting three points above the relegation zone, resentment has grown over the decision to uproot from the Upton Park.
Liverpool failed to handle United's aggressive and direct start as two long balls forward resulted in goals from the 20-year-old Rashford in the 14th and 24th minutes.
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