Reports indicate that 20 other soldiers in the elite unit are being investigated for links to right-wing extremist organizations.
The three Russians received light injuries and the vehicle was damaged.
The exercise's name is "Swords of Karama," which is reportedly named after Israel's 1968 operation against Fatah.
Rumors of “coup” come after more than a month of protests and hundreds killed in Iraq.
Visit comes as part of a series of high-ranking US officials coming to Israel in recent weeks.
Prior to speech at The Jerusalem Post conference, FM Katz only called for sanctions.
The arrest of 133 military figures in connection with the 2016 failed coup has left the country with personnel shortage for key weapons systems.
Simon Wiesenthal Center calls on EU to ban entire Hezbollah organization, not only its military wing
The military had asked Morales to step down after weeks of protests.
Bnei Zion’s former director Yuval Kahan and former counselor Aviv Bardichev were charged in Beersheba District Court on Monday with 10 counts each of negligent homicide.