2:38 PM PT -- In his first public comments since suffering the scary head injury, Tagovailoa said in a statement Friday afternoon he's "feeling much better."
The quarterback thanked his fans, friends and family for their prayers and support while he was in the hospital ... and added that he's now "focused on recovering so I can get back out on the field with my teammates."
Miami Dolphins head coach Mike McDaniel fought back tears as he discussed Tua Tagovailoa's injury ... saying, "I'm just really, really glad that I can hear normal Tua in his voice."
McDaniel was clearly emotional as he spoke with reporters on Friday ... saying watching one of his players get carted off the field will "never feel normal."
"It's something you never want to be a part of, and when I put myself there, this is what happens. It's not fun."
Very scary as Tua Tagavailoa goes down after a sack, looks like it may have been the second concussion in 4 days. Really not good. pic.twitter.com/2u0Leb69O5
"I couldn't believe what I saw last night," Harbaugh told reporters. "I couldn't believe what I saw last Sunday. It's just something that was astonishing to see after coaching for 40 years -- college and the NFL -- well, almost 40 years."
"I've never seen anything like it before. It just was really something that I really just couldn't believe what I was seeing."