The Italy international was rumoured to be Wenger's top transfer target this month, with the Serie A side claiming that they had rejected the offer because it did "not reflect the value of the player".
Asked about the stories at his Friday press conference, he replied: "That's what you call today 'fake news'.
"We have [Danny] Welbeck coming back, we have [Olivier] Giroud, [Alexis] Sanchez, [Theo] Walcott, plenty of strikers... also [Lucas] Perez, who is doing very well now. We have a high number of strikers."
Arsenal currently have the second best strike rate in the Premier League, with 44 goals in the first 20 games of the season.