The Chile hot-shot has a year left on his contract, but has stalled on extension talks and fell offside with Gunners' boss Wenger in March after storming out of a training session.
Sanchez has had his best season in England in terms of goals and assists - 29 goals and 19 assists in 50 games in all competitions - and the uncertainty surrounding his contract situation has attracted a number of suitors.
But ex-Arsenal striker Henry insists that Sanchez is vital to the club, and urged the club to "build their team" around him this summer.
But his haul could not help the Gunners get into the Champions League and he has been linked with a move away from the crisis club.
"I really hope that he does stay".
And Vidal told Sport: "Of course I would like him to come because he is an extraordinary player. Who knows what's going to happen".
"If you think that guy is disturbing in the dressing room, I'm sure he must have his character and his moments like every single player, but this is a guy you have to build the team around".
Both Pablo Zabaleta and Bacary Sagna are out of contract and look set to leave the club, meaning Guardiola will certainly have to bring in one new right, possible two, with Kyle Walker emerging as their top target.
The Telegraph, meanwhile, report that French giants Paris Saint-Germain have also stepped up their interest ahead of a potential summer move.