Dalglish believes the former Dundee United and Queen's Park youngster deserves every accolade coming his way.
He told the Scottish FA: "Andy has been fantastic ever since he came in to the team. I'm sure he was man of the match on his debut.
"Everyone in Scotland should be very, very proud of him.
"You only need to come to a game to sense the respect the punters have for him. They really enjoy watching Andy and he has his own chant already, which I know means a lot to him.
"Andy's a quality player. He has pace, his final ball is excellent and he plays with his heart on his sleeve.
"It gives me a lot of satisfaction to see him flying the flag for Scotland."