You're going to have to be very close, basically in the direct line between ground station and satellite (which would be airspace that's easily guarded), have a lot of battery/cooling systems to run that laser on what would essentially be a one-way-trip all for disrupting comms for maybe a few minutes tops? And that's just for one ground station, where the blue team can just set another one up a few meters away and be safe. Honestly, you'd probably be better off dumping glitter or water in the sky than trying to actively jam laser comms.