Naruto was quiet for a moment, not entirely sure how to answer that. He wouldn't object to her staying, but a part of him wanted to be alone to digest all of the information he'd just been given and try and figure things out on his own. While he wasn't the most fond of being alone, he also hated people sticking around simply out of worry for him or... whatever. Lifting his head, his grin from before had softened to a light smile, and he gave a shrug.
"Only if you want to," he said finally, figuring that was a good enough answer. He would certainly not say no to more company, but he knew that she probably had made friends here and had things to do, right? He could use some time to explore and figure out who remembered him and who didn't. It would be interesting to see "old friends" that he couldn't even remember.