The Merseyside outfit have been talked up as potential title challengers following six successive victories to start the campaign.
Liverpool FC were 3-0 winners against Southampton last weekend to move two points clear of Manchester City and Chelsea FC.
Chelsea FC turned to Maurizio Sarri to replace Antonio Conte in the summer following a disappointing fifth-placed finish.
The Blues dropped their first points of the 2018-19 season in a 0-0 draw with West Ham at the London Stadium last Sunday.
Manchester City are in second place in the table and only flattered in a 1-1 draw with promoted side Wolverhampton Wanderers at Molineaux last month.
Former Manchester United winger Giggs is still backing Manchester City to retain their Premier League title despite Liverpool FC’s impressive start to the campaign.
“It looks like a case of Manchester City v Liverpool for the title, although you can’t dismiss Chelsea because they’re playing well.
“Remember just two years ago they were the champions and they’ve got players in that dressing room who know what it takes – Liverpool haven’t got that, but you’ve got to start somewhere and Liverpool have been impressive.
“As for Man City, I watched them against Lyon and you think something might be wrong and then they go and put on a show against Cardiff. So I’d say it was between those two but you can’t discount Chelsea.
“I’d still just give Manchester City the edge purely because Pep Guardiola usually wins second season after winning the league and they’ve got players who’ve been there and done it.”
The Reds haven’t won the Premier League title but finished in second place in 2002, 2009 and 2014.
Chelsea FC have won the Premier League crown in two of the last four campaigns.
The Citizens, meanwhile, won their third title last term but first under Pep Guardiola after he replaced Manuel Pellegrini in 2016.