They were also thinking about the NFC West.
"Our division is so physical," coach Bruce Arians told reporters Thursday night, "and the thing that sets San Francisco, Seattle, and now St. Louis also, apart is their offensive and defensive lines of scrimmage are extremely good."
It's not yet clear whether Cooper will play left guard or right guard for the long term. The Cardinals can use him against NFC West interior defensive lines featuring Brandon Mebane, Michael Brockers and Justin Smith in base and/or sub packages.
"We have to match that physicality on both sides of the ball," Arians said.
The Cardinals see Cooper becoming a perennial Pro Bowl player. They embraced comparisons to Larry Allen, who was recently enshrined in the Pro Football Hall of Fame.
"He has a unique skill set, maybe one of the more athletic offensive linemen I've [scouted] in the 15 years I've been in the business," Cardinals general manager Steve Keim said. "He has tremendous feet, bend, athleticism, space skills, and the ability to pull and play on the perimeter."
Keim is in his first season as the Cardinals' GM. He played on the offensive line at North Carolina State, potentially giving him special insight into the position.
Drafting a guard will never captivate the broader public, but evaluators with experience in line play can border on giddiness when they see a prospect as talented as Cooper. That was the sense in Tennessee when Titans coach Mike Munchak and line coach Bruce Matthews drafted Chance Warmack, the other highly rated guard in the 2013 draft. Munchak and Matthews were Hall of Fame linemen.
"I've known Munchak and Matthews since 1996," Paul Kuharsky wrote on the AFC South blog. "I can't recall ever seeing the two low-key, business-like football men beam quite so brightly. The glow they gave off at the news conference at the Titans' headquarters after making the 10th pick made me believe it when they said there was no question Warmack was their man early on -- something virtually every coach stated Thursday night."
The feeling had to be similar for Keim in Arizona.
"I think the question was first posed to me at the combine in Indianapolis of whether I thought No. 7 was too high to take an offensive guard," Keim said. "I think that we have our answer."