C172 pilot reported during landing roll the aircraft veered to the left resulting in runway excursion. Pilot taxied to ramp and then flew back to departure airport.

Narrative

Upon landing for a touch-and-go at ZZZ; after touchdown on the center line of runway XX; I begin the roll out and began the process of cleaning up the aircraft. I raised the flaps; turned off carb heat; and began to apply full power. As I began to power down the runway; the plane began to drift to the left. I applied more and more right rudder to correct for this. Seconds after I began the rudder correction the plane suddenly and uncontrollably turned sharply to the left. The right rudder inputs were ineffective; and at the incredibly sharp angle that the plane turned to it then left the runway and resulted in a runway excursion. Once it became clear that the rudder was not effective enough to maintain the plane on the runway; I pulled the power to idle and began using braking to bring the aircraft to a controlled stop in the grass.After bringing the plane to a safe stop; I communicated with ATC to safely taxi the airplane back to the ramp. I did not experience any problems during the taxi to the ramp. Once I brought the plane to a safe stop on the ramp and got it shut down; I completed a thorough walk around and pre-flight inspection. I did not see any visible damage to any portion of the plane. I carefully inspected all of the landing gear; tires; brakes; and strut and did not see any visible damage. Nor was there any damage to the prop. After completing a full runup and not having any flight control problems; I called ATC for permission to taxi. Once I taxied to the runway hold short line; I was given permission from ATC to take off and I returned to ZZZ1.In retrospect I think that one of the things that possibly could have done differently would be to have maintenance personnel at ZZZ further inspect the plane before departing to ZZZ1. I felt like maybe my urge to get the plane back to ZZZ1 to have it looked at by its regular maintenance personnel may have been an influence in my decision to encourage me to feel that it was safe to fly back to ZZZ1.