Roberto Firmino provided a stunning assist for Mohamed Salah's goal and was named man-of-the-match despite only coming on eight minutes before half-time.
Mohamed Salah brushed aside his supposed falling out with Liverpool teammate Sadio Mane by posting a brilliant video.
Liverpool captain Jordan Henderson insists Sadio Mane's touchline tirade at Burnley showed his side's desire to win the Premier League.
Jurgen Klopp led Liverpool to the Champions League trophy and also second place to Manchester City in the Premier League.
Liverpool face Spanish side Sevilla on Sunday at Boston's Fenway Park baseball stadium in the second game of their three-match US tour.
Sadio Mane says helping Liverpool win the Champions League was special, but his "absolute dream" is parading the Africa Cup of Nations trophy
Naby Keita bagged Liverpool's fastest ever Premier League goal before Sadio Mane and Mohamed Salah also got on the scoresheet.
Liverpool now hold a two-point lead over City, but the defending champions have a game in hand.
Liverpool and Bayern Munich played out a cagey 0-0 draw in the first leg of their Champions League last-16 tie at Anfield on Tuesday.
The Senegal international scored 10 goals as Liverpool reached last season's Champions League final.
Mohamed Salah has scored 50 goals for Liverpool quicker than any other player in the club's history after just 65 appearances for the Reds.
Manchester City remain top of the table on goal difference, but both teams are now locked with Chelsea.
Jurgen Klopp put Firmino on the bench but brought him on with about 20 minutes to go.
Mohamed Salah was accused of diving by Crystal Palace when he tumbled in the penalty area late in the first half at Selhurst Park.
Mohamed Salah got Liverpool up and running as they comfortably dispatched West Ham in their first Premier League fixture of the season.
Senegal and Colombia would be hoping for a Round of 16 berth from Group H.
Both Senegal and Colombia are strong contenders for a Round of 16 slot from Group H.
Senegal coach Cisse hopes that Mane can be the difference, on what promises to be a nerve-wracking final round of matches on Thursday.