The Bantams upset Wigan, Arsenal and Aston Villa on their way to their historic Capital One Cup final appearance at Wembley in February before clinching their first promotion in 14 years via the npower League Two play-offs and Parkinson put great store in the collective resilience of his players.
"There are obviously going to be lots of names linked with us at this time of year," he told the club's official website.
"The key for us is that we utilise the budget available to us in the best possible way though.
"We're looking to add to our group in one or two certain areas, but I'm happy with the core of the squad we have going into the summer break.
"We have to make sure we maintain the strong spirit that was around the camp last season while also adding in a bit extra quality to make us as competitive as possible."
The club have extended the deals of goalkeeper Jon McLaughlin and midfield trio Gary Jones, Kyel Reid and Garry Thompson for another year, while defenders Andrew Davies and Carl McHugh, keeper Matt Duke and midfielders Nathan Doyle, Will Atkinson and Zavon Hines are all out of contract this summer.
Parkinson added: "After the end of the season and all the promotion celebrations, a lot of the players went on holiday almost straight away.
"It's now just a case of getting round to the players to chat to them individually as soon as possible.
"I'll be going around the lads to discuss the future, including next season, and whether they're going to be with us or not."