The 20-year-old striker's second-half double secured the points for the home side against rivals Las Palmas on Wednesday night and immediately faced more questions about his future after reports of interest from City and the big clubs in Spain.
Tenerife are aware that they are likely to be tested in the January transfer window after their star player grabbed seven goals in 10 starts since becoming a regular in their side this season.
City have been monitoring him for more than a month while Malaga, Real Madrid, Schalke and Lyon have also been linked to the player who currently earns a salary of just 600 euros a month and has a release clause in his contract of £1.7million.
Ayoze does not want to leave Tenerife and believes he can help them gain promotion to the Primera Division this season, but admits that he alone will not decide whether he remains beyond the winter break.
He said: "That's not what I know. I cannot predict the future, but this is my home, I was born here and here I want to stay."