Parker guided the Clarets to promotion at the first time of asking last term, only missing out on the Championship title on goal difference.
It has been another busy summer at Turf Moor, with nine new faces arriving in addition to the loans that were made permanent.
“We have worked hard to be fair. It has been a six, seven-week pre-season and we have put a lot of demands on the team," Parker told a press conference.
“You never really know sitting in this position until the season starts, and no doubt as the season gets going you are always improving.
“But I think we are in a great place considering where we are. It has been a large element of what we have done in pre-season.
“Most of my pre-seasons are like that - trying to get us up to the best physical shape we can be in – and the numbers suggest that.
“My eyes suggest that when I'm watching us train and where we currently are as a group, so we are in a good place.”
Martin Dubravka, Lesley Ugochukwu and Armando Broja were all added to Parker’s squad last week ahead of the big kick-off.
All three have Premier League experience and the Clarets chief believes that is important as the club aims to re-establish itself in the top flight.
“It is crucial, the balance of a squad going into the Premier League,” he continued. “I think there are large parts as a coach that you are always trying to put a real good balance on it.
“Experience comes with that, players who have been in the division and understand what it looks like a little bit.
“It was a young squad last year and it's a young squad this year, so these players who have an understanding of what this league demands and what it looks like is crucial for us. I am delighted we have managed to get some of these over the line really.”
Parker didn’t rule out further incomings before the end of the window and also expects some departures as the Clarets look to trim their bloated squad.
“There are areas we're looking at,” he confirmed. “As always, these transfer windows can bring their challenges.
“There are players who you want to try and bring in, there are areas of the squad you want to constantly improve.
“But there are a lot of factors and variables that go with that really. Like I said, we tried to do some business early, which we did, and we are very happy with that.
“We have a big squad at the moment, so no doubt that some will be leaving as well. Over the coming weeks of the window, wea re looking to try and do some more business to strengthen us even more.”
It is a tough start against Parker’s former club, Spurs, who appointed Thomas Frank as their head coach over the summer.
When asked how different he expects Tottenham to look this season, the Burnley boss replied: “There are definitely differences there in the small sample size.
“The pre-season has suggested some different things and some tactical elements which I think Thomas is maybe looking at, and in last night's game [against PSG] as well.
“There are certainly some key things that have changed, which we have noticed. A very good side with a very good coach, and we understand the demands of this game and the challenge that we face.
“But it is one, as always, we will be prepared for and give the best version of ourselves to try and get a result.”
Parker is not the only member of the camp with Spurs connections. Kyle Walker and Marcus Edwards are both gearing up to face their former club.
Edwards left Tottenham in 2019 to test himself in Portugal, returning to English football in January to help Burnley get over the line in the promotion race.
Parker worked with the winger in his younger years and reckons he is now ready to show the Premier League what he can do.
“Marcus is one of the players here who has probably dipped his foot in the Premier League when he was at Spurs, went off on his way and got some experiences abroad, which I think did him no end of good,” he insisted.
“I worked with Marcus as a young player, probably immature at certain moments, and fair play to him.
“He had the bravery to go abroad in a different environment, a different culture and he's done very well. This year, Marcus’ qualities are there for everyone to see really.
“For sure, he is going to be a better version of himself than when he was a young, tender age at Spurs. I am hoping he does what I know he can do this year.”