I think it depends on which E.O. or O.O. you’re talking about. Some would acknowledge it, but would also say the Pope is the “first in honor” only, and has no authority over any of the others.
Some deny that the Pope is even a priest. Some deny that the Latin Church has any “jurisdiction” over anything but Rome and the nearby countryside. For some, the Pope can only be the successor of Peter if he quits being Catholic and becomes Orthodox.
A lot of it depends on which sub-group of Orthodox one is talking about, and where. One needs to remember, too, that there is no “central authority” in orthodoxy. Each major bishop is more or less autonomous of all the others. So, while one group might accept the Pope as the successor of Peter, that doesn’t mean they all do.