Carragher was in the Old Trafford dugout alongside Dalglish on Sunday.
On whether the No.23 would now take a coaching role, he said: "Carragher is doing his badges, he did them at the Academy. I am sure long term he wants to get involved in football and I'm sure he will.
Click on the image below to watch our behind the scenes footage with Kenny at Anfield
"Right at this particular moment in time he's on his way back from his dislocated shoulder and progressing very well. He's not even in for training.
"It was great to see him because he's someone who knows what this club stands for and for him to come and show his support for the boys at Old Trafford, that tells you something about the person.
"As I've said, there will be discussions that happen after this but right at this moment in time the appointment of Steve (Clarke) is all we've got to say.
"That's not to dismiss in any way, shape or form anything else you have in your mind.
"There are answers that have to be given but unfortunately today we haven't been given enough time to give definitive answers."