They have satellites of their own. Since it's more expensive to launch, put them into orbit and operate them, I'm sure they'll reach some sort of "mutually beneficial" agreement, like we promise not to screw with yours if you won't mess with ours.
attacking satellites is an escalation, and if they retaliate in-kind, we'll get mutually assured destruction of satellites and Kessler syndrome, and the size of the US economy means there's a lot more to lose in MAD compared to them