The midfielder insists they will take it game by game however after impressive wins over Arsenal and Liverpool.
The midfielder was secured on a deadline day move, having been linked with a return to the Hammers all summer following his successful loan spell at the club last season.
That campaign saw the side fly out of the blocks under Sam Allardyce and at one point occupy a Champions League place, before a poor second half saw them slide down the table and finish in a somewhat disappointing 12th place.
And Song says they must now aim to better that this season under new manager Slaven Bilic.
“Last season we started very well, then the second part of the season we didn’t do as well as we wanted,” he told whufc.com.
“It’s a new season now and a new start. We’ve got some new players, a new manager and everything is changing. We have to do well this season to keep growing and it’s very important for the club to make the fans happy by finishing better than last season.”
Taking things game by game
The midfielder though, insists that they will take it game by game as they aim to break into the Premier League’s higher echelons.
It has already been a bright start from Slaven Bilic, with a stunning win over Arsenal at the Emirates having been followed up with an even better 3-0 win over Liverpool at Anfield last weekend.
Song witnessed both of those impressive results, and says they’ve got to keep the good mood they generated among the fans going once the international break is done with.
“The first game against Arsenal was unbelievable – a really good result – and I saw that last week against Liverpool again,” he added.
“It makes the fans feel very happy. We’ve got to keep that going now. The squad has taken another step forward this year. We just have to improve game-by-game and then we’ll see what happens at the end of the season.”