Jesus, 25, has only a year left on his contract at City and is said to been keen on leaving the Premier League champions at the end of the season in a search of more game time.
The Gunners have been looking for a new centre-forward since Pierre-Emerick Aubameyang left to join Barcelona in January and have been linked with a move for the Brazilian in the last few days.
Barnes, the former Liverpool winger, believes Jesus ‘fits the bill’ for Arsenal and praised the City man’s qualities.
He said: ‘Gabriel Jesus fits the bill of an Arsenal player. He matches the profile not just for Arsenal, but for any football club. Jesus works hard, has a great attitude, he can score goals, plays across a range of forward positions.
‘Whether he leaves Manchester City because he wants more playing time, or not, if he goes to Arsenal, that would be a fantastic signing.’
According to reports, Arsenal are favourites to sign Jesus who is keen to link up with Mikel Arteta again after the two worked together when the Spaniard was Pep Guardiola’s assistant at the Etihad.
Despite starting City’s last two victories over Watford and Real Madrid, Jesus has struggled to cement a regular place in Guardiola’s team since joining in 2017, having played second fiddle to Sergio Aguero for much of his time in Manchester.
City’s pursuit of Tottenham’s Harry Kane last year and their interest in Borussia Dortmund’s Erling Haaland this summer suggests Guardiola is not entirely convinced by Jesus and would be open to his departure.
Arteta will be keen to sign the striker with Alexandre Lacazette and Eddie Nketiah set to leave the club at the end of the season as their contracts expire.
However, whether the north London side qualify for next season’s Champions League could prove crucial to their chances of attracting a player like Jesus.
The Gunners currently sit in the Premier League’s prized fourth spot, but are just two points ahead of rivals Tottenham.
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