The Catalans have long been linked with a move for the right-back - who signed a contract renewal until 2023 in November - and recent reports suggested they are ready to table a formal offer for the 21-year-old.
Bellerin himself has also commented this term that he is not interested in a return to Catalonia and Wenger says he cannot see how a deal could go through.
"Barcelona's alleged interest in Bellerin is very hard to take seriously," Wenger said at a news conference.
"He has just signed a new contract and still has many years left on his contract."
The Arsenal boss also addressed rumours that his right-hand man Boro Primorac is ready to walk away from Emirates Stadium.
"That is a complete invention," Wenger insisted.
"People just take information without checking it these days. Fake news."