The Reds boss feels his side have a kind fixture list for the second half of the season that will ensure they are still "in the conversation" at the end of the campaign
The victory was the Reds’ first Premier League win at the Britannia Stadium and lifts them back into fourth place in the table, just five points behind leaders Manchester City.
Luis Suarez was again inspirational for the visitors, scoring twice, as Liverpool recovered from letting a 2-0 lead slip to run out 5-3 winners.
Speaking after the match Rodgers suggested Liverpool’s fixture list for the rest of the campaign makes the strong candidates to fight for the title.
When asked if anything was possible this season, Rodgers told reporters: "Yes, absolutely. We entered into the game today, 18 games to go, nine at home, nine away, knowing seven of those nine away were against teams in the bottom half.
“That doesn't mean they are gimmes by any means – it is a very tough league – but certainly we have shown enough that we are going to be challenging and that is all we ever wanted to be.
“We never stated we are going to win the league, to jump from where we have been at, we just needed to be in the conversation."
Liverpool’s third goal came via the penalty spot after Raheem Sterling was adjuged to have been fouled, a decision that angered Mark Hughes, and Rodgers could understand the Welshman’s frustration.
"I would call that a Spanish penalty, which means that if you get it you are happy. Probably Mark would be aggrieved with that, to be honest," he added.
"I think we see lots of them on the continent, where the player is going into the box, the defender doesn't make contact with the ball but he does with the man, and Raheem is obviously running at such a speed that that slight contact knocks him over.”