I can see one of my tooth implants during the healing process. Is this normal? (photos)

Occasionally, the implant is exposed during the healing process and depending on the amount of exposure, should pose no real problem. The amount of exposure that I see in your photo would not concern me. The movement is another story however. If the movement is simply coming from a loose healing cap which is screwed into the implant, the surgeon can hand tighten it and no worries. If the movement however is coming from the implant itself, then integration between the bone and the implant is not occurring and a new implant must be placed. In either case, go see your dentist right way for an examination and solution. Wishing you nothing but the best!