The 23-year-old is widely expected to leave Real Sociedad this summer, with a number of European sides interested in his services.
However, the forward has claimed that his attention is currently on the tournament in Brazil.
"I don't really know anything [about interested teams]," he told reporters.
"I'm focused on the World Cup, I'm not thinking about my future. I just want to give everything I have here and then other things can have my focus."
Griezmann helped France to a 3-0 win over Honduras in their World Cup opener on Sunday.