The Gunners won 3-0 at Cardiff City Stadium to move seven points clear at the summit before Chelsea's victory against Southampton on Sunday saw them claw three points back.
The north London side host Hull on Wednesday, days after the Tigers completed a 3-1 victory over Liverpool.
Now Arteta believes his side's victory in Wales was a statement of intent which demonstrates they are worthy title challengers.
He told Arsenal Player: "Every away game in the Premier League is very tough.
"Considering they beat Man City here and they drew against Man United, just shows you what a tough place this is.
"For us it's a big statement to come here and get the points, to score three goals away from home is very important. We got another clean sheet as well so we're full of confidence."
Hull manager Steve Bruce has little time to revel in his side's defeat of the Reds but instead is focusing on safety.
He said: "It doesn't give me any more delight that it's Liverpool, it's that we've got 17 points by December 1st.
"We've got five wins and we need another five to stay up I think. If we get another five...10, 11 wins is usually enough in my opinion.
"Other teams at the bottom have got a lot to do in terms of winning 10 games if they've only won one or two so far."
Chelsea travel to second-bottom Sunderland in second following their come-from-behind 3-1 victory over Southampton.
There is no clear favourite to lift the title with everybody apparently capable of beating each other.
Captain John Terry told Chelsea TV: "The Premier League is more open than I've ever seen it.
"We saw that with Hull beating Liverpool. It was important (to beat Southampton) with Man U and Liverpool dropping points. It was a chance to push on and pull away from them.
"Ideally I'd like to be sitting top of the league. I feel as though it will come and we'll get better and better."
Third-placed Manchester City face a trip to West Brom, the first of two away games followed by a visit to Southampton on Saturday.
Samir Nasri knows the crunch may come in mid-December when they host Arsenal at the Etihad.
He said: "We have a tough week, we are playing two games away from home.
"The most important thing now is to recover from this game and be ready against West Brom because we have to improve our form away from home.
"We have to mind the gap with Arsenal before we play them here and we have two games away from home."
Fourth-placed Liverpool host Norwich, who are looking to move away from the relegation zone.
Reds boss Brendan Rodgers wants the team to put the Hull defeat behind them, saying: "It hurts us all because we were nowhere near our level, but it's the bigger picture we need to reflect on, because we haven't had too many days like this.
"It's now a massive game against Norwich on Wednesday and we must focus to get the points in that game."
Elsewhere, eighth-placed Manchester United host Everton as David Moyes faces his former club for the first time since moving to Old Trafford in the summer.
Swansea host Newcastle, Southampton take on Aston Villa, Stoke face Cardiff and Rene Meulensteen will take charge of Fulham for the first time when they host Tottenham.
In the first match of the midweek programme, rock-bottom Crystal Palace host West Ham.