The Poland international referred to the Premier League duo when questioned on a possible move abroad.
The Polish striker has spent the majority of his professional career in Germany, having joined the Bavarian giants from Bundesliga rivals Borussia Dortmund in 2014.
Lewandowski - who has scored an impressive 63 goals in 95 games for Bayern during his time at the Allianz Arena - will no doubt top the list of most elite clubs looking to add to their attacking options in the upcoming summer window.
Bayern are closing in on a fifth consecutive league title and will face La Liga club Atletico Madrid in the last-four of the Champions League on Wednesday evening at the Vicente Calderon.
Ahead of the European encounter, Lewandowski told France Football he would only be willing to leave Bayern for a club who could replicate their consistency at the highest level.
He is quoted as saying: “"Maybe I'll play in England or Spain one day. But, if I commit to pursuing my career in Munich, it's because I considered it the ideal club at which to move up a level and to win more trophies.
"The fact that every season they reach at least the semi-finals of the Champions League impressed me. Apart from Real Madrid, Barcelona and Atletico Madrid, what other teams can brag about such consistency?
"I don't know what my future will look like but at the moment I'm very happy at Bayern."
However, Arsenal fans’ ears will have pricked when Lewandowski mentioned he would be keen to emulate a legendary Gunners attacker.
"Thierry Henry has always been my idol, especially when he played for Arsenal. I watched a lot of his matches," he said.
Equally, Manchester City supporters may be treated with the presence of the 27-year-old forward sooner than expected due to the impending arrival of Lewandowski’s manager Pep Guardiola at the Etihad Stadium.
"With him I have made much progress,” he said. “After three months with him, I realised that I had already taken several steps.”