The Malaysian businessman is hoping that the Welsh club can be an established Premier League outfit after securing promotion with a 0-0 draw at Charlton Athletic earlier this month.
"God willing, I'd like to be here for the long haul," Tan told BBC Radio Wales Sport.
"I'd like to see this club stay in the Premier League and would like to manage it prudently [and] wisely.
"I think we have done that under our charge. I think we have done a much better job than all the previous management."
Tan has already said that he is willing to offer manager Malky Mackay a £25m transfer budget to buy players for the first season in the Premier League, but insisted that the club would not spend carelessly.
"I've been bitten by the football bug but at the end of the day we have to run this like a business so it can stay successful," he added.
"We cannot run it by simply spending money. If we don't manage it prudently then we'll be in trouble.
"We've seen some of the clubs that have been in trouble, Leeds United and Portsmouth. We don't want to be in that kind of situation."
Tan admitted that the simple goal for next season is Premier League survival.
He said: "Of course I think the first season's goal is we want to stay up there. We do not want to be a one-season wonder."
Cardiff's final game of the season is a trip to Hull City, who currently occupy the other automatic promotion spot but could be overtaken by Watford if they fail to win next Saturday.