If a player deliberately handles the ball during a potential goal scoring attempt does the goal count?

You did not say if the player was an attacker or defender.

If a defender deliberately handles the ball and...

... (1) the ball goes in. The goal stands, the defender is most likely cautioned, and the restart is a kick-off.

... (2) and the ball does not go in. The defender will likely be sent off for DOGSO and the attackers are awarded a penalty kick (assuming it was inside the penalty area).

If an attacker deliberately handles the ball and...

... (1) the ball goes in. Then the goal does not stand, the attacker may be cautioned, and the restart is a direct free kick for the defenders.

... (2) the ball does not go in. Then the attacker may be cautioned and the restart is a direct free kick for the defenders.