MOSCOW, May 22 (Reuters) - The transfer of F-16 fighter jets to Ukraine would raise the question of NATO's involvement in the conflict, Russia's Ambassador to the United States Anatoly Antonov said in remarks published early on Monday.

"There is no infrastructure for the operation of the F-16 in Ukraine and the needed number of pilots and maintenance personnel is not there either," Antonov said in remarks published on the embassy's Telegram messaging channel.

"What will happen if the American fighters take off from NATO airfields, controlled by foreign 'volunteers'?"

U.S. President Joe Biden on Friday endorsed training programs for Ukrainian pilots on F-16 fighter jets and Ukrainian President Volodymyr Zelenskiy assured Biden that the aircraft would not be used to go into Russian territory.

Antonov said that any Ukrainian strike on Crimea would be considered a strike on Russia.

"It is important that the United States be fully aware of the Russian response," Antonov said.

Ukraine has intensified its strikes on Russian-held targets especially on the Crimean Peninsula, which Russia annexed from Ukraine in 2014.