Cleverley has emerged as the scapegoat for Manchester United's dismal season but the midfielder remains a regular in the national set-up.
One England fan - Glenn McConnell from Blackpool - took exception to Cleverley's latest call-up for tonight's friendly with Denmark and launched an online petition calling for the 24-year-old to be "banned" from the World Cup.
Cleverley is described as an "inept" midfielder who does not possess "any genuine qualities whatsoever", and Hodgson is unimpressed.
"That petition does not impress me, I must admit," a visibly irritated England manager said.
"I'm disappointed that Tom, as a sensitive young man, has got to bear that burden, but I know one thing - he will come through it and when he does come through it and Manchester United start winning again, and he's starting to get praise for his performances, he'll be stronger for it."