Chayka said there were no expectations that Chychrun would make the team last season and that he won't close the door on another player going straight from the draft to the NHL.
"We didn't expect him to necessarily jump in at 18 [years old]," he said. "We got him at 16 in a good draft, and I think this is a good draft as well. There are going to be players that play and play sooner than later, and some that take some time. … Each player is unique."
The Coyotes have two picks in the first round for the second consecutive year; their own choice is No. 7, and they have No. 23, which was acquired from the Minnesota Wild in a trade for forwards Martin Hanzal and Ryan White on Feb. 26.
They have seven picks in all, including five of the first 78 selections.
"I think you want to have as many draft picks as possible in any draft," Chayka said. "I don't think this draft is any different from that. There's pockets of really high-end, elite players. You hope you can time it and get in the right position to get those players you really feel passionate about and really believe in."
Chayka also feels he has the draft-pick ammunition to move up or down to get a particular player he and his staff think will help.
"I think with two first-round picks, that gives you the option," he said. "There's a grouping there, if that really is what you're looking to do. I think we can find guys we really like at the right spots, and that's what we're trying to do at the draft."