The only way is if its creator felt remorse and repaired their soul.
The only way that pieces of soul in Horcruxes can be released from the object they’re bound to is if the person who created it feels enough remorse for their actions to repair their soul.
“Isn’t there any way of putting yourself back together?’ Ron asked.
‘Yes,’ said Hermione, with a hollow smile, ‘but it would be excruciatingly painful.’
‘Why? How do you do it?’ asked Harry.
‘Remorse,’ said Hermione. ‘You’ve got to really feel what you’ve done. There’s a footnote. Apparently the pain of it can destroy you.”
- Harry Potter and the Deathly Hallows, Chapter 6 (The Ghoul in Pyjamas)
As it is possible to rejoin your soul after making Horcruxes by feeling sufficient remorse, in that case the piece of soul would presumably be ‘released’ from the object it had been bound to, and it would then rejoin the main soul it had been split off from, making it whole again.
Typically, a Horcrux can’t be ‘released’ once bound to an object.
Except for the possibility of the Horcrux’s owner feeling remorse and repairing their soul through it, the pieces of soul in Horcruxes can’t be ‘released’ to go on and live in something else. Hermione explains this to Ron when he asks her exactly that question - Horcruxes don’t work like that.
“But even if we wreck the thing it lives in,’ said Ron, ‘why can’t the bit of soul in it just go and live in something else?’
‘Because a Horcrux is the complete opposite of a human being.”
- Harry Potter and the Deathly Hallows, Chapter 6 (The Ghoul in Pyjamas)
As Hermione explains, the piece of soul in a Horcrux can’t survive without the object it’s bound to.
“But my point is that whatever happens to your body, your soul will survive, untouched,’ said Hermione. ‘But it’s the other way round with a Horcrux. The fragment of soul inside it depends on its container, its enchanted body, for survival. It can’t exist without it.”
- Harry Potter and the Deathly Hallows, Chapter 6 (The Ghoul in Pyjamas)
This means it would be impossible for the piece of soul to be released from the object it’s bound to, as it wouldn’t be able to survive without the object - the only ways that the piece of soul can be removed from their object is either if they’re destroyed by irreparably damaging the object, or if their creator feels sufficient remorse to repair their soul and they rejoin the main soul.