The Arsenal ace picked up an ankle problem prior to the opening-game meeting with Cameroon at the weekend, forcing him to take a place among the subs.
Speaking to reporters on the eve of his side's second Group B outing, which will likely decide who finishes top, Pizzi admitted that he is glad to have Sanchez back, but Claudio Bravo is still absent from the group.
"Alexis is available, He showed he could play without problems and he recovered after a couple of days. He trained and didn't have any pain," he said. "The doctors and physios are the ones who decide whether the players can play or not and they've said he can play.
"Claudio won't play. For me, the fact that he is here is really important. He's a captain and a point of reference in this group. He's improved quite a lot, he's recovering and he's doing what the doctors told us. He's been a bit more active in training sessions and we hope he will be able to play soon."
Chile top the Group B standings on goal difference ahead of Thursday's clash in Kazan, as Germany could only manage a narrow 3-2 win over Australia.