Neymar was amazed by Rooney during England's draw with Brazil last month in the Maracana.
He said: “It does not surprise me at all that Barcelona is Wayne Rooney’s first choice — we are most players’ first choice.
“The style of football we play and the level of the players we have — we are the perfect club for the top players to join.
“I have met Wayne on a few occasions and he seems a good guy, but importantly he is one of the players I admire most in the world.
“Wayne is one of the most gifted and technical players in the world.
“Of course he would improve Barcelona — he would improve any club in Europe.
“And on a personal level it would be a dream to play with him.”