She’s said that he’s not numerous times.
She has made it clear what her position is on the birther issue, and at NO time has she ever said Obama was ineligible.
In fact, here is her Facebook entry about the issue, which unfortunately didn't keep some of her supporters from continuing to project their opinions onto her instead of simply believing her:
Stupid Conspiracies-Sarah Palin::
"But at no point not during the campaign, and not during recent interviews have I asked the president to produce his birth certificate or suggested that he was not born in the United States.I think that is a very clear statement: AT NO POINT did she suggest Obama wasn't born in the United States. Why any of her supporters would claim that she said the opposite is beyond me.
Believe all the conspiracies you want. But don't drag Palin into it, when she's made it clear what she believes. She fully supports people looking into his birth certificate, and she does not dismiss the birthers, but she is NOT one of them, and has not herself questioned Obama or asked for his birth certificate.