Suarez was hit with the huge ban after biting Italy's Giorgio Chiellini in a World Cup group game on Tuesday.
His ban prevents the striker from playing until the start of November and he is not even allowed to set foot in a stadium during that time.
However, FIFA says he is permitted to transfer clubs.
A FIFA representative said: "A transfer can happen this summer."
Suarez has been strongly linked with a move to Barcelona, with reports in Spain claiming he has already given his consent to a move.
- Sports & Recreation
- Giorgio Chiellini