Hello @Louise1478,
If the property management company set up the listing with their Airbnb account. They unfortunately own it.
Although many hosts want a "transfer listing" system, I do not think Airbnb will ever add it because the reviews attached would not be relevant to a new management company or owner.
When starting a short term rental, I would make sure all listings are starting on your personal account with the property management as cohost. Payouts can still be directed accordingly but you have ownership of the listing.
To add to this, and even more importantly, a lot of areas are requiring short term rental permits and applications when starting an Airbnb. Unfortunately, most new hosts pay the property management company to go through the permitting process for them. Therefore, if/when you leave the property management team, you lose all the permits in their name as well.
This is especially important to note in areas with tons of restrictions and waitlists for short term rental permits.
So all in all, everything should be on your account, everything should be in your name... ALWAYS.