Jonas Eidevall was a fervent applauder of his side's performance throughout the match.
After beating Chelsea at Emirates Stadium, Arsenal demonstrated their determination to challenge for the Women's Super League title.
Arsenal won a thrilling 3-2 win thanks to two goals from Beth Mead, an England international, and one from striker Vivianne Mildema.
Chelsea finished nine points ahead Arsenal last season but couldn't find a late equaliser because more than 8,000 spectators were there.
Rachel Brown-Finnis, a former England goalkeeper, described the Gunners' performance as "immaculate and perfect".
Eidevall, the new manager, was asked if Arsenal had demonstrated their title intent. He said that in some aspects, "I think it was. Like the way we defended in the last 20 mins and how we played under their pressure in the first 30 mins.
"They were pleasant things that we could do together and they helped me win today. We are proud of our team. We are a great club. It's all about winning every game.
"We will continue to learn and grow throughout the season. Although it was a good performance and a win, it is only one of many.
Emma Hayes, Chelsea's boss, stated that her team lost only once last season in the league. She also said that the WSL challenge "is there every single year".
She said that she and her team scored two goals at Emirates and had fifteen shots, creating chances. However, you cannot concede three goals and expect a win.
"The challenge is always there so it's not different, but I think that the Champions League competition meant that our opponent had more legs in the clinical moments then we did.
"The most disappointing part for me is the way we conceded those goals, all in transition. Although it's a challenge, the league can't be won or lost in one match.
'Like being second-class citizens' - Hayes
Beth Mead scored 2 goals in 11 minutes of the second half
Mead seemed to be offside when Mana Iwabuchi played her in to score her second goal. This was ultimately the winner.
This was after there were discussions about the lack of goalline technology in the women's match and the video assistant referee due to some controversial moments during the WSL's first weekend.
Reading's Brooke Chaplen smashed the crossbar. Replays suggest that the ball bounced off the line during Friday's defeat to Manchester United.
Kelly Chambers, manager of Manchester United, stated that she hopes to see technology in the game in the near future. Marc Skinner, Manchester United boss, said he would welcome it as well.
Chelsea's Hayes stated about Mead's goal that: "I heard it was discussed before the game, but it's really costly. But I think we're selling ourselves short."
"We all have become accustomed to VAR and goalline technology, so it's like we are second-class citizens if it isn't in the women’s game."
