Goals from Hamza Igamane, Danilo and James Tavernier secured the points in the Highlands with another strong performance on the road.
Speaking to RangersTV at full-time, Clement said: “I was pleased with the dominance, the seriousness and the maturity in the whole squad.
“The support of the fans today, they were brilliant today all game long, but you see that the fans start to see the potential that is in this squad, how everybody wants to work and that we make less mistakes because we have played together for longer.
“That is the way we need to go and continue, keeping the seriousness also not to become sloppy if you are leading. You can’t give belief to opponents so it is a good reference game for the next couple of months, but we need to keep doing that.”
On Moroccan Hamza Igamane, who made it four goals in four games with his early strike, Clement said: “It is incredible how he made his adaptation without understanding one word of English, I think it helps that we have a few people in that club that can speak French, like a few players and myself.
“I can go into detail with him in French, but he is a bright light which we hoped he would be buying him because we saw the potential. You never know from a human being how fast they adapt to a totally different culture, lifestyle, kind of football at a higher level but he is taking really good steps, and he has been important for the team the last couple of weeks so that is a positive thing.
“Dani showed his intelligence there and his hunger and desire to score goals with his goal. He came out of a really difficult period the last 11 months and I am very happy that he scored in the last game and now this one it will help a lot with his confidence.”
Captain James Tavernier rounded off the scoring with a superb strike late in the game, and the manager said it was important to make the end of the game more comfortable.
He added: “That is an amazing technical kick, that is top class to score in that way. It is important in these kinds of games to score the third goal to kill the belief of the opponent.
“We were pushing for that. In the second-half they had a few good saves, we had a few good attacks so it is important at that moment you know you kill the belief and that was important.”