England, who have the option to call in a replacement for Carse if he is ruled out of the tournament, are winless and sit third in the Group B standings behind South Africa and Australia.
Batters Jamie Smith and Jordan Cox have been axed while seamer Saqib Mahmood could not retain his place either.
The hosts lost six wickets in the first session for 94 runs after resuming on four for no loss on Day 2 of the fourth Ashes Test in Melbourne.
England have not won a first Ashes Test in Australia in nearly 40 years, nor beaten the hosts in Perth since 1978.
England fast bowler Gus Atkinson has been ruled out of the fifth and final Ashes Test in Sydney after tearing his left hamstring, the team said on Monday.
Brydon Carse took six for 42 before England comfortably chased down their 104-run victory target in the first Test against New Zealand
England on Wednesday announced their playing XI for the opening Test of the five-match series against India, which will kickstart at Headingley on Friday.
England flirted with a comeback for the ages on Sunday, with Will Jacks, Jamie Smith and Brydon Carse putting up brave stands, but Australia's Mitchell Starc took three wickets to end the resistance.
England lost both matches by eight wickets and will relinquish all hopes of regaining the Ashes if they are unable to win the third Test, which begins at Adelaide Oval on Wednesday.
England called up spinner Shoaib Bashir and seamer Matthew Potts for the final Ashes Test against Australia beginning on Sunday with one of them set to fill the void created by Gus Atkinson's injury-induced absence.
IMAGES from Day 1 of the 3rd Ashes Test played in Adelaide on Wednesday
Steve Smith and Travis Head hit centuries to help Australia dominate the third day's play by stretching their lead against England in the fifth and final Ashes Test.
Travis Head smashed a blistering century at the top of the order to set up an eight-wicket win in the Ashes series opener in Perth.
Images from Day 2 of the 3rd Ashes Test in Adelaide on Thursday
Batting great Alistair Cook says England's 2-2 home series draw against Shubman Gill-led India was against "not a great Indian side", flagging concerns over the team's preparation for the Ashes.
IMAGES from Day 2 of the 1st Ashes Test in Perth on Saturday.
England 'quietly confident' heading into Ashes series, says Wood
If selected, it would be the fast-medium pacer's first Test since taking five wickets in a heavy defeat by New Zealand in Hamilton a year ago.
Fast bowler Jofra Archer was ruled out of the rest of the Ashes series with a left side strain.
IMAGES from Day 1 of the 1st Ashes Test played in Perth on Friday.
Starc reached his second fifty of the series in 73 balls, striking eight fours, before England finally struck back. Archer ended Lyon's resistance, trapping him plumb in front for 9, and Australia were soon bowled out for 371 in 91.2 overs.
Mitchell Starc, who picked up 26 wickets in four matches with an average of 17.42, has moved one rung up to share the second spot with Pakistan spinner Noman Ali.
Carse joins an England team struggling at the ninth place on the table after just one win in four matches.
Since going missing from red-ball action in 2021, the 30-year-old endured a period during which injuries constantly plagued him, especially a recurring stress fracture in his right elbow.
'He's a quality player, it was a matter of time for him to score.'
England on Tuesday named a 16-man squad for the Ashes series starting in Australia in November with Ben Stokes, who is currently nursing a shoulder injury, set to return to lead the side.
As England and India gear up for the final showdown in the five-match series for the Anderson-Tendulkar Trophy at The Oval, former England speedster Stuart Broad feels the hosts should make some changes to their Playing XI and rest tearaway Jofra Archer.
Jacob Bethell has represented England in 29 matches across all formats and will lead the team in the absence of the regular Test players.
Surrey seamer Matthew Fisher has been added to the squad and will link up with the group this week, having been in Australia with the England Lions.
Jamie Overton returns to the Test line-up for the first time since earning his sole cap against New Zealand at Headingley in June 2022.
Tilak Varma's "mature" unbeaten 72 was the difference between India and England in the second T20I here, reckoned visitors's pace bowling all-rounder Brydon Carse.
'I'm worried. We're going to wander in and have a little game with the 'A' team. (It will be) 'Alright mate, how are you? Good on ya' and we're going to go and perform?'
'It's a moment I'll never forget, having my family there.'
England pacer Brydon Carse has opened up about his recent injury ordeal, saying he contemplated amputating a toe to overcome a persistent and painful problem that kept him out of action for months.
'It's a double-edged sword, but I'm enjoying it.'
Australia finished marginally on top at the end of a chaotic opening day of the fourth Ashes Test after an extraordinary 20 wickets fell in front of a record crowd at the Melbourne Cricket Ground on Friday.
IMAGES from Day 5 of the 3rd Ashes Test in Adelaide on Sunday.
All-rounder Jamie Overton, who played the only Test match of his career back in 2022, has been recalled to the 15-member England squad
Fired-up England reduced India to 58/4 chasing 193 for victory in a highly-charged final session on day four on Sunday as a gripping third Test at Lord's.