Pence is offering a signed bobblehead that shows him riding the scooter. It was stolen from a restaurant parking lot Sunday night after the Giants completed a home sweep of the Minnesota Twins.
After announcing on Twitter that the scooter was stolen, he later posted a photo of it.
"I try not to be too attached to things, even though I have a bobblehead with it," Pence told CSNBayArea.com. "I felt it was an extension of me."
Pence does not lock the scooter because of its unique charger.
"It won't last very long," Pence said. "I try to trust people. Apparently somebody needed it more than I do."
Pence received the scooter three weeks after he was traded from the Philadelphia Phillies to the Giants in July 2012. He said the incident has not made him angry at San Francisco.
"No, I'm not mad at the city," he said. "The support and comments on Twitter were more uplifting than anything. It made the gut shot better. It made it fun. ... I found a way to get some joy out of it."