Bree, 25, has played 90 minutes at left-back in his last two matches, impressing in the 2-2 draw at Preston North End and the 3-1 win over Birmingham City.
It was the defender’s only league debut, with Martin calling England international Walker-Peters one of the “best players in the league”.
Bree was signed in January last season by former Luton Town manager Nathan Jones after establishing himself as one of the best full-backs in the second division.
However, Jones was sacked a few weeks later and he only played three more games under the next manager, Ruben Selles.
When asked about Bree’s resurgence, Martin told the Daily Echo: “I’ll probably spend more time with the guys who aren’t playing because they can do more on the field.
“The biggest mistake I made when I was a player was that those who weren’t playing didn’t pay special attention and just practiced like beginners.
“That means they were in decline form a bit and when they got their chance, they weren’t ready.
Our job is to make sure everyone is as healthy as possible.
“They are involved in every training moment and every detail so that when they step on the field, they are ready.
” He continued: “Breezy is an incredible teammate, as is Joe Aribo – and I have to mention Joe, sometimes I embarrass him, but he’s an incredible teammate.
“There were times when I was sure he would step on the field because of the way he trains and the way he gives his best every day – he brings value to the team whether he’s playing or not “When you’re like like this every day, if you have a day where it’s hard for you, we can take it.
If you want to sulk because you’re not playing and not the best version of yourself every day.
.
.
that’s the only bit we can control.
” Bree has also been the victim of a complete change in system, operating best as a back-to-front counterattacking wing-back last season.
He ranks in the top one per cent for expected assists and shot-creating actions per 90 minutes for players in his position in non-top-five leagues over the last 12 months.
In his last half-season at Luton, Bree attempted a whopping eight crosses per 90 minutes – more than tackles, blocks, interceptions and clearances combined.
Bree was dejected when speaking to the Daily Echo earlier this season, in the wake of EFL Cup elimination at League Two Gillingham – his only other start.
Martin added: “We try to speak to them and give them trust to help them in other areas but the bit we need them to be fully present is on the training pitch.
“If you are not there every day, you can’t come into the pitch and perform as well as Breezy did.
You just can’t.
“It’s a good example to the young players here that how you do something is how you do everything.
A passing drill is not just a passing drill.
“Breezy does everything with incredible technique, and focus, to the best of his ability.
He is a player we really enjoy watching grow his understanding.
“The way he is being asked to play is completely different from how he played at his previous club so it wasn’t an easy transition for him.

“He’s got a lot to do and Kyle knows he’s putting a lot of pressure on him.
He’s got a very good, proven player at this level and is fighting to get there.
” “Now we know that he can play left field.
returning, he can play at center if needed and he has played midfielder in training.
“Having someone who is flexible is good, but having a character who goes all out is better and he is definitely one of those.
”