Gustavo Balbi told Spanish TV channel La Sexta: "It is the right time for change. He has nothing left to prove in England.
"The best solution would be if he were to go to Spain. We would like to have them close to us in Sprain but it does not matter which team he sign for. He would do very well over here.
"This would be the best move for him as he would not go to another team in England out of respect for Liverpool and their supporters."
In December, Suarez signed a contract extension with Liverpool to keep him with the club until 2018.