There are at least half a dozen good options out there if INEOS are serious:
Rúben Amorim - 39 years old
My personal favourite candiate. I believe that both Amorim and Alonso are the next two elite managers in the making. He's maintained a a win percentage of over 70% at every club/role so far in his career.
Taca de Liga winner x3 (one at Braga, two at Sporting)
Primeira Liga winner
And in with a chance of league and cup double this season. Sporting are currently 7 points clear of Benfica with 5 games left to play.
Roberto De Zebri - 44 years old
On course for back to back to top 10 Premier League finishes with Brighton. He guided Brighton to their 1st ever European campaign. He topped his Europa League group and has a good record vs the traditional big teams in England. 44.5% win rate. Potter's win rate was 38.7% in comparison.
Back to back 8th place finishes with Sassuolo in Serie A also.
No other manager in The PL has given more minutes to U21 players than De Zerbri this season. Verbruggen, Hinshelwood, Baleba, Buonanotte, Enciso, Fati, Adingra, Ferguson.
Julian Nagelsmann - 36 years old
Only 36 years old, but already hugely experienced. 8 years of senior management experience already. Earned a big move to Bayern after doing great jobs at both Hoffenheim and RB Leipzig. Harshly treated by the former decision makers at Bayern, he was sacked with a win percentage of over 70%. He's doing a good job at rebuilding Germany ahead of Euro 2024. Musiala and Wirtz featured heavily in their recent friendly wins over France and The Netherlands.
Thomas Tuchel - 50 years old
A mixed spell at Bayern, no doubt. Not helped by Bayern selling off their squad depth in order to fund the signing of Harry Kane and their failure to sign an athletic DM (Palhinha), he's somehow managed to get Bayern to the semi-finals of The Champions League. He'd become the 1st manager in CL history to take three different clubs to the final.
His time at Dortmund, PSG and Chelsea were very good stints. High win percentages and multiple trophies + finals at all three clubs. He was 1 win away from completing a historic quadruple with PSG.
Sebastian Hoeneß - 41 years old
His work at Stuttgart has probably gone under the radar due to Alonso and Leverkusen's success. But he currently has Stuttgart 3rd in The Bundesliga with a win percentage of 64.4% after just a year at the club. CL football is very likely. They have a 7 point gap over Leipzig with 5 games left to play.
Míchel - 48 years old
He has Girona currently 3rd in La Liga with an 8 point gap over Athletic Bilbao who are in 5th. 7 games to go. He's worked well with a squad combined of veterans such as Daley Blind and Cristhian Stuani + young players such as Yan Couto and Sávio. A little bit of a wobble recently, but they've generally played some very good attacking football and could make history this season.