The Reds were billed as Manchester City’s most-likely challengers in the 2018-19 season after Jurgen Klopp brought in four new signings in the summer transfer window.
Arsenal, though, are two points behind the leading pack after Unai Emery’s side eased to a resounding 5-1 win over Fulham at Craven Cottage in Sunday’s early kick-off.
However, Chelsea FC have managed to keep pace with the defending champions and Liverpool FC after eight games despite Maurizio Sarri’s appointment on 14 July.
The Blues were 3-0 winners against Southampton at St Mary’s on Sunday after Eden Hazard scored his seventh goal of the Premier League season to hoist the Blues to second place in the table.
Liverpool FC’s stalemate with Manchester City in Sunday’s late kick-off to leave duo level on points with Chelsea FC in the top three positions after eight games.
Scotland captain Robertson was keen to stress that Arsenal and Chelsea FC can’t be discounted from the title race equation.
“We feel we can compete with any team but people seem to be just dismissing other teams and making it a two-horse race, which is not the case,” Robertson told Sky Sports on Sunday.
“We played Chelsea last week, who were excellent. They have been on a great run.
“You see teams like Arsenal, with a new manager, putting great results together. So there is a long way to go and there will be a lot of teams competing but we hope we are one of them.”
Arsenal lost to Manchester City and Chelsea FC in their opening two Premier League fixtures to raise questions about Emery’s ability to overhaul the Gunner side.
However, the north London side have won their last six games in the Premier League to move to within two points of Manchester City, Chelsea FC and Liverpool FC.
Sarri’s side dropped points in stalemates with West Ham and Liverpool FC before their returning to winning ways at Southampton thanks to goals from Hazard, Ross Barkley and Alvaro Morata.
Liverpool FC have drawn their last two games with Chelsea FC and Manchester City, while the Citizens have dropped points at Wolverhampton Wanderers and Anfield.
The west London side will host Manchester United in their next Premier League fixture at Stamford Bridge on Saturday 20 October.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news