The 30-year-old is currently on loan at Bremen from Chelsea until the end of the season.
“I am very interested in staying at Werder,” Pizarro told Kicker Sportmagazin.
“Claudio has told us that he wants to stay,” Werder Bremen boss Klaus Allofs said.
“We have to be patient but we would also like to keep Claudio here.
“We have to find out whether Chelsea are willing to do business, so it is too early to make final decisions at the moment.”
