Hermes tells Calypso to let Odysseus go.
No! Poseidon tries to drown Odysseus during his escape from Calypso. Athena and Hermes assist Odysseus.
Odysseus does
Calypso and Odysseus become lovers. Calypso offers Odysseus immortality and eternal youth if he would stay with her. Calypso does not aid Odysseus' escape until told to do so, so he seemed trapped on her island without a ship.
On Calypso's island after Zeus makes her release him.
Odysseus met Calypso on her lush island of Ogygia.
Calypso offers immortality to Odysseus
Calypso
Calypso has the power of immorality over Odysseus.
Hermes is sent down to Calypso, telling her that the gods wish for her to release Odysseus. Therefore, it is Calypso who allows Odysseus to leave, not Odysseus who 'manages to say no.'
Calypso
He doesn't escape, he's let go. After Zeus says it's time to send Odysseus home, he describes what will happen on this last leg of the journey. Then, he send Hermes to tell Calypso it's time to send Odysseus away. She gives Odysseus some tools, they go into the forest and he builds himself a ship. She gives him some cloth, he makes sails. She supplies him and send him on his way.