Moutinho slid a signature slide-rule free-kick across the edge of the box for Ruben Neves to open the scoring in the 41st minute against Villa.
Wolves went on to claim a 2-1 victory and centre-half Coady hailed the midfield duo's ingenuity.
He told the Express & Star: “The free-kick was absolutely outstanding. I will be honest, we don't know where Joao is going to put one of those free-kicks – never mind the supporters or the opposition. I think it is better that way, that is how it works, we did not expect that finish, the pass and the way they worked it is fantastic.
“I didn't have a clue they were going to do it, they are so clever the two of them. Not just them, Raul Jimenez and the people who join in with the things like that are so clever.
“They work on it day after day, little routines of how they can get better and improve."