Student or Learner
If the boss reminds his employees: "please do not wait for me to push you before acting.
Should employee reply: "i am sorry and thanks for reminding me" or instead of just saying :" thank you for reminding me"
This is not a grammar question. It's a culture question.
In my opinion, an employee should not have to be reminded to do his or her job. Saying "Thank you for reminding me" is reinforcing to your boss that you were not doing your job.
Do you want to apologize? If so, do say you're sorry. I don't know if your situation needs that or not, but you do.
Do you want to appear as though his or her words meant something? If so, say something like "You'll never have a reason to be disappointed in my efforts again." (Not everything you do will turn out perfectly, but your boss should never again question whether you are trying.)
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.