The 24-year-old has failed to make an impact at the Italian champions, following his move from Ternana last summer.
“It was a bad season for me as I was hampered by too many injuries,” Jimenez is quoted as saying on Sportal.it.
“I need confidence and I need to play,” added the ex-Lazio man. “I can’t allow myself to go through another season like this. I will ponder my choice carefully.”
Atalanta, Parma, Sampdoria and West Ham are all interested in signing the midfielder, according to reports.