The Northern Irishman was full of praise for his goalkeeper following the Hoops' 2-0 victory over Helsingborg in the first leg of their Champions League qualifier.
The 24-year-old made a number of vital saves to keep a clean sheet in Sweden.
"Fraser's done his chances [of an England call-up] no harm tonight," said Lennon. "I said you'd have an audience tonight and to go and show them how good you are.
"I thought he was excellent tonight. We've been banging the drum about him for a while, but it's not for us to say."
Forster joined Celtic from Newcastle United on a permanent basis this summer.