Any type of trampoline insurance allows?

• cancer insurance
• house windows prices
• negotiation skill

So we are renting a house and the owners insurance won't allow us to keep the trampoline. Is there a type of trampoline that we can fold away or it somehow takes air instead of springs? (Blow up trampoline?) I'm a gymnast so i need to have a trampoline to have at home so I can practice skills.

Any type of trampoline insurance allows?