It is the second time in three years Fulham have won the Sky Bet Championship play-off final, but they endured a torrid most recent season in the Premier League.
Despite spending over £100million on eight permanent signings plus five high-profile loans ahead of the 2018-19 campaign, the Craven Cottage club shipped 81 goals and finished 19th.
"You can't build teams with drastic changes and drastic swings of players, you can't do that," Parker said.
The ex-Bristol City defender is confident they are better equipped this time.
"Last time we went up, there wasn't the right mentality in the squad," Bryan told talkSPORT.
"There were people here who were just happy to be there in the Premier League and not graft, but this time we have a really good, young, hungry squad and a good, young, hungry manager."