The Arsenal talisman has been linked with a move away from the Emirates, with the Chile international demanding a bumper pay rise.
Chelsea are chasing the 29-year-old - with Antonio Conte making Sanchez his No.1 summer transfer target.
The former Barcelona star was on target again for the Gunners today against Manchester City, helping them reach the FA Cup final.
And Wenger has hailed Sanchez, claiming he will be at the Emirates next year.
"Alexis Sanchez was like the team. He had problems to start and became stronger and stronger," said Wenger.
"He is an animal, always ready to kill the opponent. He will never give up.
"He will be here next year because he has a contract and hopefully we will manage to extend him.
"When at Arsenal football club we want the team to turn up in big games and I think we done that today.
"Overall I am very pleased. People questioned us, we went through tough times.
"In these times you can be divided or united and today we have shown the right response."
