Wilson is on a season-long loan at Dean Court from the Reds.
"I don't know his thoughts on what he's going to do next year," Cook told the Bournemouth Echo ahead of his side's trip to Anfield on Saturday.
“I'd love him to be a Bournemouth player. Young, hungry, got goals, a lovely left foot – potentially he is a very good Liverpool player.
“Hopefully he can produce his best obviously for us now in the last nine games, because he can't play this week, and maybe he'll become a Bournemouth player, who knows.
“It's very difficult for me to say what he's going to do, but I think he's left himself in a very good position to prove himself that he can play for Liverpool."