"We’d like to win the [Singapore] Cup and the league, I think that would be a good season," Kean declared.
"They (the management) want to win the championship. For the next two years, we have committed to the league and they want to win it for the next two years. I believe we’ve assembled a squad that can not only do that, but do it in the cup competitions."
The Wasps did not play particularly well but did enough to take the three points thanks to Rodrigo Tosi's penalty on 15 minutes, and Kean believes his team can only get better.
"I wasn’t particularly pleased with the way we passed the ball, I think we can pass it much better," he acknowledged.
"But I think we showed that we’ve got discipline when we don’t have the ball. I’ve said to the lads after the game that if you look at any team that wins the championship, there would be many games where they don’t play to their maximum and get points.
"And I think that’s what we’ve done today and we’ve got much, much more to come."
The Scot's confidence came from what he's seen of his side since taking over, with new foreign signings Boris Raspudic, Roy O’Donovan and Joe Gamble looking assured on their debuts.
"Roy’s come in and only had a few training sessions, it’s difficult to gel a partnership [so quickly] but he’s a good football player and I'm sure in the games to come he’ll get a good understanding with Rodrigo Tosi," he pointed out.
"I’ve got good import players this year, very good. I think the local players have worked really hard for the last six weeks and they’ve improved in every area so we are confident we’ll have a good season."
Kean is aware that his task won't be easy, having witnessed a few pre-season friendlies and watched some of last season's ones on tape since his arrival.
"I’ve seen tonight that Albirex are a very good technical team, they try and move the ball and get it one-on-one in the wide areas and I thought they played really well and if that’s the standard we are gonna come up against then it’s gonna be a tough season," he acknowledged.
"I am here to help the players, here to help the club... if we can keep everybody fit and get the understanding that I know we can, I think we can have a very good season."
Kean will be looking to continue his team's winning ways when they take on Warriors FC at home on Friday.