Lyon warmed up for this weekend's friendly tournament at the Emirates Stadium as well as the new Ligue 1 season with a comfortable 3-1 win against the Reds at the City Ground.
"You can see why they beat Real Madrid and why they got to the semi-final of European tournaments," Davies told BBC Radio Nottingham.
"They have great experience and wonderful ability.
"We took this game on because we knew they would come here, keep the ball and show us real continental style and that's what they did."
League One Swindon provide the Reds' final pre-season opposition this weekend before the big kick-off against Burnley.