By Noah Tan in Singapore
Rodgers, who only took over at the helm of the club during the summer, has come under intense scrutiny by the fans and the media after a poor start to his Liverpool reign; the Reds have managed just one win in their first seven Premier League games and are currently 14th in the table.
Expectations are unsurprisingly high at a club with a proud history of success and certain sections of fans have already made calls for Rodgers to be replaced.
However, Fowler, who was in Singapore for the EPL Masters Football Singapore Cup 2012, is pleased with the appointment of Rodgers and is adamant the Northern Irishman can transform Liverpool into a club capable of challenging for honours once again.
Speaking to ESPNSTAR.com, Fowler said of Rodgers: "I've no problems whatsoever with Brendan, I think he's the right man for the job.
"I think his philosophy and the way he wants to play football is brilliant and I wish every manager were like that.
"I like the way he speaks. He says the things that I, as a supporter, want to hear, and he implemented it [the passing style of play] at Swansea last year. I've got a lot of time for him and I think he'll do a very good job.
"For what he's saying, he's certainly instigated it at the clubs he's been at, so you know that eventually we'll get there.
"Liverpool obviously have not made a great start but the players will eventually will come round to the way Brendan wants to play and we'll be fine.
In an unforgiving environment where managers are rarely given more than a year or two to produce results, Fowler has urged Liverpool to stick with Rodgers and highlighted the importance of continuity at the club.
"I think he will be given the time to prove himself," Fowler added.
"At Liverpool, the fans obviously want success but I think they are knowledgeable enough and can understand that any new manager at whatever club you have does needs a bit of time.
"Changing managers nearly every 6 months or a year doesn't help anyone; you're always back to square one.
"I think you have to revert to Manchester United and Sir Alex Ferguson. He spent 7 years at the club before he won the league!
"I know obviously the owners and chairman want success straight away but sometimes there's a need for patience as well."
The 37-year-old also pinpointed at the lack of depth in the squad for the club's recent dismal run of form.
"It's a relatively small squad when you compare with the likes of Manchester City, Manchester United, Chelsea, Arsenal and Tottenham Hotspurs.
"With the players he's [Rodgers] got he's doing a good enough job, I think eventually we will get back to the top.
One of the biggest problems for Liverpool in terms of depth is the lack of an established back-up to current Reds striker Luis Suarez, and Fowler believes that the club should not have let Andy Carroll go on loan to West Ham United during the summer.
"I think in the ideal world you would like to see him [Carroll] stay because there weren't any replacements being brought in," Fowler reflected.
"I don't blame Rodgers, he's his own man, he knows what he wants, and he probably doesn't think Andy suits that formation which he wants to implement at Liverpool."
And Fowler, himself one of the most prolific strikers during his playing career, explained why he thought Carroll performed poorly at Liverpool last season.
"What I will say about Andy Carroll is that he struggled because he probably tried to be a $35million player.
"He was dropping deep and trying to do everything but towards the end of the season, he looked a better player when he was played upfront being a good old fashioned English centre-forward.
"That was when he was at his most dangerous at Liverpool. That was the player that Liverpool bought and it was good to see that eventually."
Liverpool are in action at home against newly promoted Reading in their next league fixture.