How did Zeus influenced Odysseus?
Zeus hated Odysseus and was the cause of many of Odysseus's misfortunes. However, at the end of the story, when Odysseus returns to Ithaca, Zeus changes his mind about him and helps him defeat Penelope's suitors. this may have been because of Odysseus proving himself by perservering through 20 years away from home.
Odysseus and his men landed their ship in Thrinacia, the home of Helios' sacred cattle. Odysseus and his men were warned not to touch the cattle but as Odysseus sleeps his men slaughter and eat them. Helos' tells Zeus that if justice is not done he will take the sun to Hades. Therefore Zeus destroys Odysseus' ship.
It's not Zeus that is disrupting the seas after Odysseus leaves Calypso's island; it is Poseidon. Athena went to Zeus to ask for his help to get Odysseus home and Zeus agreed that he would allow Odysseus to try and get home. Poseidon, on the other hand, hates the Greeks and especially hates Odysseus because he killed his son the cyclops, Polyphemus.