The Portuguese has asked his agent, Jorge Mendes, to find him a new club.
Joao Felix's estimated value is €50m, although Atletico Madrid would likely want to sell him for a higher fee, with his contract expiring in 2026.
Earlier, it was reported that Joan Laporta was a big fan of the 23-year-old. He is said to have discussed Felix's potential move to Barca with Jorge Mendes several times.
Felix has scored 33 goals and provided 18 assists in 129 appearances for Atletico Madrid so far.