Parkinson insists anything is possible for the Championship club against the Prem giants.
He said, “When you go around the Wrexham area, the game most supporters will speak about is that Arsenal game, and this is our chance now to make some more memories for our supporters in the FA Cup.
“We did that with a great game against Nottingham Forest that went to a penalty shootout, and then obviously the Ipswich game. We've earned the right to have this kind of prestigious draw against Chelsea.
“We're on a good run, and we've done well at home. It's all about bringing our best performance to the table on Saturday night.”
On what he expects from Chelsea, Parkinson also said: “It's like any game, really. You've got to look at the opposition, how they play, how they build from the back, their key strengths in the game, and adapt at times towards that.
“Of course, you're always concentrating on picking our team and getting us to play and to function to the best of our ability.
“That underdog fighting spirit has got to be there because we know we're up against a team that are Club World Champions and they've got a lot of talent.
“However, It's all about us giving a really good account of ourselves, and we'll see where that takes us on the night.”