The former Watford manager was understood to be Stoke’s first choice following the dismissal of Mark Hughes.
The 52-year-old Spaniard held talks with the Potters earlier this week although Flores says he has no intention of leaving his current club.
“Here I have all I need. I am the coach and will be,” he said. “I’m well and quite happy with my situation. I don’t have to explain anything else.”