Naruto has been through a lot in his own time, so he may use that experience to adapt to the past. He might start by making friends with the younger versions of people he knows. He'll also have to be careful not to reveal too much about the future to avoid disrupting the timeline. He could use his ninja skills to earn respect and find his place in the past world.
At first, Naruto would likely be confused and a bit out of place. But he's got a strong will. He would start observing the customs and ways of the past ninja world. He might learn new jutsus from the past masters. His ability to make friends and his never - give - up attitude would help him gradually adapt to the past environment. He could also use his knowledge of future events in a smart way to gain an advantage and fit into the past society without causing too much suspicion.