Brodie has eight assists in 21 games this season for the Flames (10-8-3), who visit the Arizona Coyotes at Gila River Arena on Saturday (4 p.m. ET; FS-A, FS-A PLUS, SNF, NHL.TV).
"We're going to go through the process of checking every box and make sure we administer every test," Treliving said. "But he's come through everything thus far and doing well, feeling good. He's on the mend. He will obviously not travel with us today as we head to Arizona and Las Vegas. He will stay under the supervision of our medical team led by [Dr.] Ian [Auld]."
Auld said, "An event like this can be caused by something inside the brain, something scary, and it can also be caused by syncope or fainting episodes. The reasons for why people faint are many. I don't think we have all the answers yet, and we still have a few more tests to go, but all the early indications are that it's very likely more related to a fainting episode than something significant and inside the brain."
Flames captain Mark Giordano said the incident was unsettling but that he and his teammates were able to relax after visiting Brodie at the hospital.
"It was really reassuring to go to the hospital and see him back and acting normal and joking around," Giordano said. "I know it's happened before where guys have gone down and had episodes like that, but for me personally, seeing a teammate on the ice, I had never been a part of that.
"Knowing him for so long, playing with him his whole career and being really good friends, it was an emotional day. We all feel a lot better about things today with some positive news that he's home, he's resting, and he's feeling better. Hopefully he just keeps getting better and better and he's able to get back on the ice."
The Flames recalled defenseman Oliver Kylington from Stockton of the American Hockey League on Friday. He has one assist in 14 games with Calgary this season.
NHL.com independent correspondent Aaron Vickers contributed to this report