The Spaniard joined from Sevilla in the summer for around £21m, and scored his first City hat-trick in their 5-2 win against CSKA Moscow in the Champions League on Tuesday evening.
The forward feels that the interest City receive will help him improve his prospects for a Spain call-up, with the World Cup looming next summer.
"I can improve my game a lot at Man City, that's why I came here," Negredo told Sky Sports News.
"Perhaps Spain can look for qualities in me that I didn't have at Sevilla or that I'm trying to add to my game now.
"Man City is a club which attracts more attention, especially from the press. They already know me in the international set-up. I'm the same."
Negredo has scored four goals in the Premier League this season.