The Germany international scored his first goal for Villa in the dramatic 4-4 draw against Manchester United, but the midfielder was unable to celebrate fully after his team conceded an equaliser in the final moments.
Goretzka was encouraged by the attacking potential Villa demonstrated, although he acknowledged that defensive weaknesses and a lack of consistency remain problems that need to be addressed.
“You could see it today as well. Here and there, things are still too easy, everything is still a little too fragile. But we will continue working on that. The fact that the potential is there is good news to begin with,” he told Sky.
Despite the disappointment of dropping points so late in the contest, Goretzka has been pleased with the welcome he has received since arriving at Villa Park.
The midfielder has settled into his new surroundings and believes the support from his team-mates and the club has helped him regain confidence following his departure from Bayern.
“I am having a great time. I have been welcomed incredibly well at the club. I know that is always a cliché, but in this case it really has been true.”
His first goal for Villa was another encouraging milestone, providing further evidence that he is beginning to repay the faith shown in him following his move.
“Now I feel better and better, and I am pleased that I can repay the trust.”
Villa currently occupy 10th place in the Premier League and remain within reach of the European qualification positions.
Goretzka's experience at the highest level could prove important as Unai Emery's side attempt to build consistency during the remainder of the campaign.
The midfielder has won numerous major honours during his career, including the Champions League and multiple Bundesliga titles with Bayern. His arrival was intended to provide Villa with additional quality and experience in the middle of the pitch.
However, his comments make clear that he recognises the team must improve collectively if they are to turn promising performances into more consistent results.
The draw against Manchester United demonstrated both Villa's attacking potential and their defensive vulnerabilities. For Goretzka, the challenge now is to help the team become more reliable while continuing to establish himself as an important figure at his new club.