Patterson was suspended for missing the Aug. 22 preseason game against the Giants before being released Saturday.
Idzik noted the strained relationship with Patterson, who called the team's assertion no one had contacted the Jets about Patterson's absence "completely false" in the media.
Ryan and Idzik discuss the recent release of wide receiver Hill and how his agent has responded to the move.
"We don't operate too much on statements," Idzik said. "I prefer direct communication. That way, if something is quoted or is said, especially in this information age when things fly out pretty quickly or are segmented, you always like to hear from the player.
"Suffice it to say, I think he had an open forum here to spill everything out, and then we told him our views as well. In the end we felt it was the best thing for the Jets."
As for Hill, Ryan said it was not a case of giving up on the player. Rather, it was Hill's inconsistency and not playing special teams that led to his release.
"We gave Stephen plenty of opportunities, more snaps than any receiver in camp," Ryan said of Hill, a second-round draft pick in 2012 "At the end of the day, a lot goes into it. One of them is special teams presence. Stephen never really provided a whole lot of special teams presence, if at all. So some of the guys were probably kept over Stephen for that very fact."
Ryan was upbeat about the situation at cornerback, despite the uncertain status of Dee Milliner (ankle) and Antonio Allen (concussion) going into next Sunday's opener against Oakland at MetLife Stadium. The Jets signed Phillip Adams Monday after adding Leon McFadden Sunday.
"I understand where everybody is coming from because we had some injury questions," Ryan said, "When this thing gets kicked off for real, we absolutely have no excuses."