On H1-B Visa, Laid-off, 60-day Grace period

I am in my 60-day period, I received an offer but I doubt if they will be able to file the H1-B petition before the 60-day grace period ends.

I am planning to leave the country before the 60-day ends and en-enter using a valid visa stamp after H1-B approval.

I am only worried if I need to be physically present when they file the H1-B petition.

You dont need to be physically present in the US when employer files H1B petition.