Pablo Zabaleta has insisted that Manchester City still believe the title can be won, with the right-back suggesting Liverpool could slip up at home to Chelsea before City travel to Crystal Palace for Sunday's late game.

City are six points behind with a match in hand and need Liverpool to lose one of their last three games while winning all of their final four and maintaining a superior goal difference.

Zabaleta pointed to Monday's 3-1 win over West Bromwich Albion as evidence of how focused City remain. "We have belief. This is the main reason we won on Monday, to show again this team wants to win the league," he said. "In football you never know what can happen. Liverpool are doing great, winning 11 games in a row in the league, the first time in one season in Premier League history, I believe. They have three games until the end, and we have four. If they drop any points, we have a chance if we win our games.

"It's going to be very tough, but if they drop points – that is why we talk among ourselves about winning all of our games. If they win all of their games, we must just give them credit, and there will be nothing we can do. We need to keep focused on what we are doing and move on to the next game."

Liverpool kick off against Chelsea before City on Sunday and Zabaleta, right, said he and his team-mates will be monitoring what happens at Anfield. "The manager always tries to give us some information, but the main thing is to play our game. If we do our best, we know we will get chances. We will see what happens with Chelsea and Liverpool, hopefully they can drop some points which would be great for us and give us a chance to close the gap with a win at Palace.

"We know we are playing for something big. We want to win this league, and you can always have problems with players getting injured. It has been a very difficult season for us with a lot of injury problems, but even if players have been struggling with an ankle problem, or a muscle problem, you can see players pushing and giving everything for the team.

"That is the spirit we need from everyone, as we know these last few games will decide the league. We all need to give our maximum, and that will be great for the team.

"We will see, as we know how difficult it is to play Crystal Palace away. They are in a great moment and Tony Pulis is doing a great job so it will be a very tough game."

The home victory over West Brom featured goals from Zabaleta and his countrymen, Sergio Agüero and Martín Demichelis. "It was Argentina night, it was a special night for the Argentinian players – we made history, as I don't remember any other time in Premier League when three Argentinians have scored. This is a special season and it was great to come back with another win," said the 29-year-old, after a defeat at Liverpool had been followed by the disappointing draw with Sunderland at the Etihad Stadium.

Manuel Pellegrini will definitely be without David Silva for the trip to Palace, while whether the City manager can select Yaya Touré is doubtful.

City are assessing the results of a scan on Silva's injured ankle that could rule him out until the final week of the season. Touré could be available again following a muscle issue, with the midfielder training for the first time since suffering the injury in the defeat to Liverpool on 13 April.