The U.S. wants to reduce its presence in Africa as France seeks to bolster the fight against jihadists in the region.
Dustin Harrison was one of three people killed when their base was overrun by insurgents.
Between 50 and 100 U.S. troops with the East Africa Response Force (EARF) were deployed to Manda Bay.
Spc. Henry Mayfield Jr., 23, was among the three Americans killed in the early morning attack.
Two other U.S. military members were wounded.
It was not yet clear whether any U.S. or Kenyan forces were killed.
The helicopter collision is France’s highest military death toll in nearly four decades.
U.S. Africa Command officials said they are conducting surveillance and reconnaissance flights from Agadez, Niger.
Russian Aircraft Corporation MiG intends to make its MiG-35 fourth-plus generation fighter available to African nations.
Two Russian Tu-160 Blackjack bombers and support aircraft are expected to touch down in South Africa this week.