No, You Don’t Have To Rescind The Resignation!
Nope, when an employee resigns and changes their mind, you do not have to rescind the resignation. Just as an added note, do not accelerate the resignation date by telling the person that they can leave on the day they submitted their notice. Legally you can do that, however, you can easily change the separation from a resignation to a discharge, thereby making the individual eligible for unemployment benefits. If you want to let them go early, just pay them through the effective date of their resignation, and the separation will remain a voluntary quit.