The Chilean was tipped to move on from Udine in the summer, but interested parties failed to press ahead and the forward duly remained in Luciano Spaletti's squad.
Pizarro has had a bright start to the campaign and is now ready to discuss his future with club officials.
"I'm ready to sit and talk about my future," he affirmed. "We will see what the club will be ready to offer.
"I'll decide on the basis of what will be offered to me.
"Anyway I can assure one thing: it's true I've said that in my future I see a big club, but if I find the agreement with Udinese I have no problems about staying here.
"But now I just want to think about Udinese and the World Cup qualifiers with my national team."
