The Manchester City striker is open to a summer move after seeing Erling Haaland and Julian Alvarez arrive at the Etihad.
Jesus has scored 95 goals in 236 appearances for City and helped the club win four Premier League titles since his move from Palmeiras in 2016.
Arsenal want to sign Jesus as they look to replace Pierre-Emerick Aubameyang and Alexandre Lacazette and are currently in talks with Man City over a deal.
But the Gunners face competition from Chelsea and Tottenham, who are both also interested in bringing Jesus to London this summer.
Thomas Tuchel is expected to sign a new striker as Romelu Lukaku closes in on a return to Inter Milan, while Antonio Conte is keen to bolster his squad ahead of Spurs’ return to the Champions League.
Arsenal will not feature in Europe’s biggest club competition after finishing fifth in the Premier League last season, but McManaman does not expect this to prevent them from signing Jesus.
‘Is Gabriel Jesus better than what Arsenal have got? The answer is yes,’ the former England star told HorseRacing.net.
‘Manchester City are more than happy to let him go because they brought in Erling Haaland, so have Man City improved in that area? Probably, yes.
‘It’s only natural that Gabriel Jesus will start to look at Haaland and think that it’s time to leave. He has the potential to go to Arsenal and be their star man.
‘There are Brazilian and Portuguese-speaking players at Arsenal already. Mikel Arteta has worked with him before and he’ll be the main man.
‘Alexandre Lacazette has moved on and I know they’ve just re-signed Eddie Nketiah to a new deal, but Jesus will probably come in and know that he’s playing every week and that centre-forward spot is his own.
‘It works for everybody, It’s pointless Manchester City keeping him if he’s going to be really unhappy.
‘Arsenal need a centre-forward and he can be the main man as he already has huge amounts of Premier League experience, and it pays the bills for the Erling Haaland move.
‘He has been linked with Chelsea and Tottenham too, so the factor of playing in the Champions League would weigh on your mind.
‘You always want to play in the Champions League and the same goes for Jesus. He’s used to being successful with Manchester City so, of course, you want to play at the team which offers you Champions League football.
‘Tottenham is less of a choice for him because they’ve got Harry Kane and Heung-min Son, who’ve both had great seasons, so suddenly that becomes competition for you.
‘For Chelsea, it’ll all depend on whether of course Raheem Sterling turns up there or Romelu Lukaku goes, but they’ve got a plethora of people there, so Arsenal are the one team crying out for his type of player and of course he’s worked with Mikel Arteta so maybe that negates the fact that they’re not in the Champions League.
‘He can go there and be comfortable with someone he knows already.’
Jesus could becoming Arsenal’s fourth summer signing following goalkeeper Matt Turner, midfielder Fabio Vieira and forward Marquinhos.
For more stories like this, check our sport page.