The Potters secured their first win in five Premier League outings with a 3-1 win over Bournemouth at the Vitality Stadium.
Record signing Giannelli Imbula set them on their way with his first goal for the Club, while two goals in as many second half minutes from Ibrahim Afellay and Joselu made it 3-0 before Matt Ritchie grabbed a consolation for the home side.
Hughes told stokecityfc.com: We wanted to be a little bit more resolute and better in terms of our shape and we certainly were. I thought we were excellent today.
"We conceded a little bit of possession and allowed them to come on to us because we knew that they over commit at times and felt we would have opportunities and that's the way it panned out.
"We scored a great opening goal from Giannelli - he produced a great strike and throughout the game I thought he was excellent.
"The second goal was a good break down the right from Jon Walters who cut it back for Ibrahim. It was a top quality finish because it wasn't easy.
"We were comfortable at that point and then Shaqiri, who I thought was excellent today, produced a great stand-up ball for Joselu to make it 3-0.
"We had a little bit of a wobble and they made it 3-1 but I always thought we were in control of the game. If they had got a second it might have been quite anxious at the end but I thought we saw the game out quite comfortably."
Hughes reserved special praise for his £18.3million capture Imbula. "We knew we were bringing in a good player and he showed today what he's all about," the manager added.
"An indication of a great player is a guy who looks like he has so much time when he's on the ball and Giannelli certainly has that."
Injuries to Marc Muniesa and Glen Johnson, who both limped out of the action in the second half, were the only negatives to emerge from the long trip to the south coast.
Hughes continued: "We're down to the bare bones defensively and had to play Mame Diouf at right back when Glen went off and give Dionatan Teixeira, who had only had a couple of minutes in the Premier League against Aston Villa last season, a run-out. I thought both were excellent.
"Marc felt his hamstring but we're hoping it's nothing too serious. We've obviously got a break now and hopefully it will only be a 10 to 14 day lay-off.
"Glen is a little bit more of a concern. Philipp Wollscheid fell on him - he thought he might be ok to continue but that wasn't the case."
The Potters have a fortnight's break before their next outing, against Aston Villa, at the Britannia Stadium, and will next week fly to Dubai for a warm weather training camp.