It's worth noting that Garfield has expressed his interest in returning to the role of Spider-Man, and there have been indications that Sony Pictures may be open to the idea. However, as of now, there is no concrete information or confirmation about a new _Amazing Spider-Man_ movie or Garfield's involvement in future Spider-Man projects.
It's always best to refer to official sources for up-to-date information regarding movie projects and casting announcements.