Pizarro will lead Werder Bremen's attack in tonight's UEFA Cup final against Shakhtar Donetsk.
"For me, it is important that a coach shows faith in me and Thomas Schaaf does exactly that," said a striker who has already scored 28 goals this season.
His future Chelsea boss Carlo Ancelotti is said to be a fan, but Pizarro admitted this week he had heard nothing from a Stamford Bridge in transition and Galatasaray will use his presence in their city to try to sign him, says the Daily Mail.
The Turks would like a similar deal to Bremen, who pay just £35,000 a week to a man in the middle of a four-year contract worth £55,000 a week. But at a push Galatasaray are willing to make up the difference and may even pay a £2million fee.