The midfielder has lofty ambitions with Slaven Bilic's side.
The Hammers have enjoyed a fine season so far, and sit eighth in the table, just five points away from Arsenal who currently occupy that coveted fourth place.
It has been an impressive start to Slaven Bilic’s reign at Upton Park after he replaced Sam Allardyce as manager in the summer.
They are an ambitious side, with them set to move to the Olympic Stadium at the end of this season, and Song is expecting them to be title challengers in five years.
“This season we have to finish very well, the new manager has set very high standards for what we want to achieve,” he told the Sunday Times.
“If you have the right manager, the players and the fans then you have all that you need to succeed and West Ham has got all of those things.”
“For me, I am sure that in the five years’ time West Ham will fight for first place. We are talking about five years’ time, but I am sure, the future will be very, very great.”
West Ham certainly showed their ambition this summer, with the signing of Dimitri Payet in particular showing their ability to bring in top players.
They will need more players like him in future if they fancy themselves as title challengers as their squad looks thin compared to the current contenders.
Key to it will likely be reaching the Champions League, with that providing the extra financial boost and prestige to attract top talent to the club.