The coin will not move.
First, to differentiate between centrifugal and centripetal, I'll start by stating the definitions first.
Centrifugal force is the apparent force that draws a rotating body away from the center of rotation. It is caused by the inertia of the body as the body's path is continually redirected.
Centripetal force is a force that makes a body follow a curved path: its direction is always orthogonal to the velocity of the body, toward the fixed point of the instantaneous center of curvature of the path. Centripetal force is generally the cause of circular motion.
This means centrifugal force is a fictitious force (or pseudo force). It isn't actually there. Any body travelling in a straight tries to resist its direction from being changed (inertia). When a body moves in a circle, it tries to go straight at every point on the circumference. It is centripetal force which makes the body keep rotating by pulling it back to the circular trajectory. So centripetal force is basically the cause of circular motion. That is why when you rotate anything over your head and release it, it goes straight, as a tangent to the circle.
Coming back to the question, friction itself will act as a centripetal force in this case. If there is no friction, there is no centripetal force and hence, there is no centrifugal force. Therefore, the coin does not move.