The Firhill side have enjoyed a productive return to our highest echelon as they have mixed it with the best teams in country.
Thistle brought the curtain down on the first round of fixtures with a narrow defeat to champions Celtic last Sunday and head to Aberdeen on Monday night aiming to record their fourth league win of the campaign.
The Jags' superb showings have not always been rewarded with the points they perhaps deserved but boss Archibald is satisfied with their start.
He said: "It has been a good start but it could have been better. We could have been a few points better off.
"The only negative so far has been our home form, there are games we should have taken maximum points from teams but didn't.
"You just have to look forward and look to the next quarter of the season.
"We have played all the teams now and if we work as hard as we have so far and play to the same standard then I don't think we have anything to fear.
"I don't do targets. We didn't set any targets at all regarding points.
"We are in a good position at the moment. We were six points off second place before Saturday.
"We are in a good place and we are pleased with how we have done so far."
After ending their nine-year stay in the First Division by pipping Morton to the title last term, Thistle have made the most of their return to our top tier.
The 3-0 Firhill loss to Aberdeen is the blot on their report card thus far.
And Archibald is pleased with how his side have handled the step up in class.
He said: "It has been much like what we expected.
"I knew we would get a bit more time on the ball in this league.
"You are up against teams who have that bit more quality and you are punished for your mistakes.
"Teams take advantage of any errors you make and that is a big difference.
"But we have adapted well to this level and the boys have been excellent so far.
"The Aberdeen game was a disappointment.
"It was a combination of them being good and us being poor that day.
"We didn't get going that day. There is no doubt Aberdeen were good but I felt a lot of it was down to us being poor as well."