Sure don't.
I could not find it in the regs.
However, I did find my Private pilot oral guide....
"On October 26th of 1996 the FCC eliminated the individual licensing requirement for all aircraft operating domestically. This means that you do not need a license to operate a two-way VHF radio, radar, or ELT aboard aircraft operating domestically. All other aircraft radio stations must be licensed by the FCC either individually or by fleet. The new rule applies to all aircraft, including scheduled air carriers, air taxis, as well as general aviation aircraft, as long as they fly domestically."
Wankel