C172 pilot reported a ground strike and momentary loss of aircraft control during landing. Reportedly; the pilot may have over-flared which caused the tail to strike the runway surface.

Narrative

I approached runway XX at ZZZ for landing in a Cessna 172. The landing appeared normal after the wheels touched the ground; the plane; however; was about 4 ft to the left of the center line. I slowly pressed the right rudder pedal to direct the plane to the center line. After seeing the plane turn right; I slowly used the left rudder pedal to gently offset the turn to the right but the plane did not respond. It continued turning to the right for nearly two seconds longer than I wanted it to; by the time I regained my left rudder usage; the plane was already near the edge of the runway on its way to a grassy area between taxiway Lima and taxiway Hotel. I did not want to over-correct to the left since I was concerned the plane would flip over. I managed to stop the plane at Alpha in front of the FBO. The plane did not collide with any person or thing. ZZZ ATC asked if I needed any assistance; I was unharmed so I declined the offer.I parked the plane and inspected the exterior. The only damage I noticed was to the 'tail skid;' the aftermarket metal attachment designed to protect the tail of the plane in the event of a tail strike. It was bent and turned toward the right front of the plane near the right rudder. I noticed scuff marks on the rudder's right side (pilot's right); the full movement of the right rudder was inhibited by the twisted Tail Skid. I proceeded into the ZZZ FBO to call my flight instructor. He informed me that he would call me back in 20 minutes after conferring with the management at the flight school. While I was waiting; I requested a mechanic at the FBO to look at the plane.During this time; I was approached by a gentleman; he identified himself as part of flight operations at ZZZ. He asked for my personal information; I provided all that he requested.I was told by the mechanic that the plane could not fly until the damaged Tail Skid was removed. He said the rest of the plane appears unaffected and because this is an aftermarket and unnecessary part for the plane; it was safe to fly again.Upon reflection; it is likely that I over-flared the landing incurring a tail strike and damaging the Tail Skid. The Tail Skid twisted and turned toward the right side which ultimately locked the right rudder very briefly into place during the landing roll on the runway.