Martinez was thrown out by an umpire and then exchanged words and pointed his finger at Tuesday night's home-plate umpire -- Doug Eddings, who was heavily criticized for his strike zone in the Blue Jays' 12-inning loss to the Chicago White Sox.
Eddings ejected Blue Jays pitching coach Pete Walker late in Tuesday's game.
The Umpire Auditor Twitter account said Eddings missed a season-high 29 calls in Tuesday's game.
Wednesday's bizarre scene unfolded minutes before the finale of a three-game series in which the White Sox have notched a pair of one-run wins.
Eddings was working third base Wednesday.