The chairman was in attendance for the fixture and has been paying close attention to team affairs following the Swansea result.
The victory against Liverpool further built upon the impressive performances against Norwich City and West Brom in recent weeks as the Latics have picked up five points from their last three games.
Speaking about the win over Liverpool, Whelan told the club's official website: "What a win that was. I had so many people shaking my hand after the final whistle congratulating Wigan Athletic on a deserved victory, hoping that we stay up.
"When you hear those sentiments it gives you a great feeling after such a bad run of luck in recent weeks with games we could and should have scored more goals in.
"At Anfield we fought hard and played good football from back to front, and in the second half we dominated the game for long periods.
"All our supporters who made the trip were absolutely fantastic and I'd to thank them so much for the noise they made and the support they gave the lads on the pitch.
"We need all our supporters and the whole town behind us now. I would urge everyone to come and get behind the lads this weekend when we play Stoke City at the DW Stadium.
"It's so important to have everyone there for the game, we're in a fight now but we're up for that fight and what you saw at Anfield on Saturday is what you're going to get for the rest of the season.
"We came through a tough test and we have to kick on now, believe in ourselves and if we do that we'll go on and we'll stay up."