Arsene Wenger has come under intense pressure over recent months following the 10-2 aggregate thumping that sent the Gunners out of the Champions League, before convincing away defeats at West Brom and Crystal Palace.
Fan protests before and during matches has become the norm for the Gunners since the turn of the year, but Wilshere – on loan from Arsenal at Bournemouth – believes that the coach cannot be solely to blame.
Speaking to Sky Sports, he said: "Sometimes a manager can only do so much, as in prepare a team and then the team have to go out there and perform.
"Again all I can say is that he has been great for me. I've been away for a year so I don't know what's happening there, in the dressing room or what training has been like."
Wilshere has 14 months remaining on his current deal at Arsenal, and the club are expected to begin talks with the 25-year-old regardless of Wenger’s future.
But Wilshere insists that helping Bournemouth avoid relegation is at the forefront of his mind.
"I've said before. I have to wait until the end of the season. I'm a Bournemouth player and we're still not out of trouble," Wilshere added.
"We've got to focus on helping Bournemouth. You don't want people to say you went out on loan and got Bournemouth relegated.
"I've got a year left. So I'm sure I'll sit down with the boss and whoever it may concern and we'll sort it out."