City boss Mark Hughes praised his new signing and admitted there may be more to follow.
"There were a lot of positives today, Daniel Sturridge got on the scoresheet, which we wanted him to do."
As for further signings, Hughes revealed he has further money to spend.
"Yes, I have," he confirmed.
"You saw one purchase today (Kompany) that cost a significant amount of money and we'll be back in the market trying to sign good players.
"The money is there for me to invest."
I was delighted with that. It was a big win for us," he continued.
"Irrespective of the fact they went down to 10-men so early, I still thought we were very much in control of the game and felt that there was a real determination in our play.
"We showed some good willingness to ask questions of the opposition, we changed the angles of our attacks well and there was a good tempo to our passing.
"It was a good all-round performance. We had to be a little bit patient and wait for our first goal, but once we got our noses in front, there was only going to be one winner."