That difference between training and matchday is common, and I would not rush to “fix” it.
Training is familiar. Matchday has different adults, noise, opposition and a feeling that things count more. Some children simply need longer before the confidence they show in training travels with them.
I’d look for small progress rather than waiting for him to suddenly become the same player. Does he move closer to the ball? Ask for it once? Try one dribble he would normally avoid?
I would also resist making the quiet match performance the main car conversation. If he says he enjoyed it, that matters.
The coach can help by giving him early involvement and simple encouragement, but without turning the first five minutes into a mission to “get him touches”.
Confidence usually travels better when nobody is measuring it every week.