In video aired by local stations and posted to YouTube, the player is seen collapsing to the ground after Morales walks up to him and knees him during Sunday's game against a team led by La Paz Mayor Luis Revilla, a former Morales ally who turned against the president earlier this year
Witnesses said Sunday's bitterly fought game, whose final score was 4-4, ended with two players from each side being ejected.
Morales was not among those kicked out, but the player who fouled him was.
Members of Morales security contingent tried to arrest the player, Daniel Gustavo Cartagena, immediately after the match but Revilla interceded.