These satellites are transmitting signals in the electromagnetic spectrum in which the FCC is the designated authority to regulate for US satellites.
Are they US satellites because the reception dishes are here?
Because thy are manufactured here?
Because they are launched here?
Because the company that runs them is located here?
Any or all of those situations can change and the FCC would be SOL.
XERB, baby.
And Russia has a comparable regulatory agency. Since our satellites (including spy satellites) pass over Russian territory all the time, do you want to give the Russians the ability to regulate them, too?