Djokovic wasn't there in 2022 but Medvedev feels that Carlos Alcaraz's win showed that a player who backs himself always has a chance at a Grand Slam.
"When you have confidence from winning matches you are more of a favourite for a Grand Slam, but Carlos before the US Open was not playing his best tennis and with the talent and game he has, he was able to do it," Medvedev told Eurosport.
"That's what I think about me. I know I can play good tennis, I know I can beat anybody on a good day, and I know I am capable of winning Grand Slams because I did it against Novak [Djokovic] when he was going for the Calendar Slam [at the 2021 US Open].
"I know I have it in me, I just have to find a way to make it happen more often than I did in 2022."
A match he doesn't dwell on too much is his loss to Rafael Nadal in the 2022 Australian Open final.
"That's one of the matches I didn't really rewind because he just played too good I felt," said Medvedev.
"I had 0-40 and I could have played it better but that's not where the match slipped away from me. He was pretty good that day, especially the more the match went on. It was not easy for me the Australian Open in general, but I love Australia and I'm looking forward to seeing how it goes this year.
"I made two finals and had some great results there. I have good memories about Australia but the final was not easy. The loss itself tennis wise, I was not that disappointed, but it was still a loss from 2-0 up in sets. It was not easy to digest.
"I don't know how it affected me and if it still does, I have no idea. I feel like I left it far behind a long time ago but you never know, maybe it sits somewhere there really deep inside. The only thing I can do is work mentally and prepare for the next Australian Open better."
Daniil Medvedev will start his 2023 season in Adelaide with Russia not invited to the United Cup.