Kingston was substituted during Hearts 0-0 draw with Kilmarnock and reacted angrily to criticism from boss Frail.
But the manager now believes that his relationship with the Ghana star is back on track.
"It's totally resolved.
"I didn't like what Laryea did. The players did not like what Laryea did and there were words said at the end of the game. In the heat of the moment maybe too much was said.
"I spoke to Laryea on the Monday. He put his hands up and agreed that he was wrong. He's back to being old Larry again - smiling and working hard on the training ground.
"He'll definitely feature between now and the end of the season," confirmed Frail.