Wilshere believes on-loan Gilmour would go straight back into the Norwich side if Lampard became manager, giving the player vital experience before he heads back to Chelsea.
"I'll tell you one person who will be buzzing if [Lampard] goes Norwich - Billy Gilmour," Wilshere said on talkSPORT.
"He played him at Chelsea, he loves him. He's going to help him develop as a player.
"I don't know why [he's been left out]. I think he's unreal for his age.
"He played in the Euros, he played for a big club like Chelsea in big games, and he can't get in the Norwich team."
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