Invisalign can be used with a bridge, but in most instances, the doctor will prescribe that the invisalign does not move the bridge, as the bridge is a fixed unit. If the teeth in the arch, other than the bridge, are what you want to move, then invisalign can move those other teeth. If the bridge is sectioned into 2 parts, it is then possible to move the 2 parts of the bridge. I would recommend seeing an orthodontist who can take records and work up a treatment plan.
Your bridges will be fine during Invisalign treatment. We can not move the bridge tho, just your natural teeth or teeth with single crowns on them. Even traditional braces cannot move bridges very well either. We can't bond brackets on the bridge so its difficult. The bridge can be remade after teeth staightening to look much better tho..