Henderson has seen the improvement in performances, and wants the Reds to keep improving over the Christmas period and get all three points.
There has been a lot of praise for the way Brendan Rodgers' side played against the Gunners as a stoppage time Martin Skrtel header salvaged a point.
Henderson told the Liverpool Echo: “We have got to keep the performance level like that. If we do that then the results will come.
“It’s pleasing that the performance levels are much better.
“You can feel that intensity returning with getting the ball back and pressurising high up the pitch.
“The passing, the movement and the penetration in behind is also better.
“It’s such an important time of the year with so many points up for grabs.
“Hopefully we can keep building on it and keep picking up points."
The Reds have three winnable fixtures over the Christmas period. They travel to Turf Moor to take on a struggling Burnley side who have improved of late, before they face Swansea City and Leicester City at Anfield. The target has to be nine points from nine as they seek to improve their league form.
Liverpool played a similar system in the midweek cup win over Bournemouth and made just the one change that was enforced by injury with Mamadou Sakho replacing Dejan Lovren on the left side of a back three.
The Reds have moved into the top half of the Premier League but now find themselves nine points behind West Ham United who are currently occupying for the fourth Champions League place, something which Brendan Rodgers is still targeting this season despite a dreadful start to the campaign.
Henderson's own position in the side seems to be one where he is just trying to do a job for the team in the right wing-back position.
With the current set-up, which accommodates three playmakers in Adam Lallana, Philippe Coutinho and Lazar Markovic - with Raheem Sterling currently leading the line in the absence of Daniel Sturridge and Mario Balotelli. Whether that will change in the coming weeks when they return remains to be seen.
It does look as if there has been an improvement in Liverpool going forward, given they have struggled for goals during this campaign, as well as struggling to address their defensive frailties that have cost them dear under the current manager.