"Obviously Australia is a tough place to play cricket, so to start the way he did shows a lot of character," Chase told the media.
"His dad had that same kind of characteristics about sticking in and fighting. That's where he got it from.
"If he can emulate what his dad did, he will be a legend in the game as well. I hope he continues in this vein and takes confidence from this first game.
"Once the other batters take a leaf out of the openers' books, we'll be a force to be reckoned with in the second Test.
"We have seen how the bowlers are bowling and we will do our homework and have a better run at it in the second Test.
"I thought although we didn't get that big total in the first innings we were looking for, the opening partnership was a great sight to see.
"The guys really applied themselves. They showed glimpses of what we can do.
"We didn't cash in on that good start and that let us down for the rest of the game."
West Indies pace bowler Kemar Roach may be absent for the test in Adelaide due to a tweak of the thigh suffered in the first test.
"I spoke to Alzarri on the first morning, he wasn't feeling well," Chase said.
"I said he looked a bit down on pace, so I spoke to him. He said he was having a bit of a headache but was still trying to push through.
"I admire that about him. Then in the second innings he really got it through and it was exciting to see."
Another West Indian could be set for a test debut in Marquino Mindley if Roach is not fit enough to play.
The second test between Australia and the West Indies will commence on Thursday, December 8 at Adelaide Oval, with the first ball to be bowled at 3:00pm.
