Unless you are on the equator, you would have to continually adjust direction to go east or west on a round Earth, as well.
However, on a Round Earth, if you don't adjust, you will eventually begin to veer north again, something that would not happen on a Flat Earth.
and who told you that? it depends on what hemisphere your on
It does depend on hemisphere. You are correct.
No one told this to me. I figured it out, imagining a starting point in the northern hemisphere, with a path going east, turning in no direction except along the earth's curve, which eventually intersects the equator, then goes around and comes back up again on the other side, reaching once again the starting point. I apologize for my ignorance of the possibility of starting in the southern hemisphere. I merely imagined a scenario, and described that which I saw within to be relevant. I suppose for your sake I could endeavour to rely less on my geometric-based thought processes, strengthen my semantic prowess, and improve political correctness with regards to hemispheres.