Roberto De Zerbi, Tottenham
Spurs spent more than £300 million in the summer, with Sandro Tonali, Mateus Fernandes, Sávio and Jan Paul van Hecke among the arrivals, and De Zerbi has two points to show for it. The season opened with a 3-0 defeat at Brentford, and the goals only arrived in game five, a 3-2 home defeat by Aston Villa. They're out of the Carabao Cup too, beaten in the third round.
The numbers that will be doing the rounds in the boardroom: Spurs finished 17th in each of the last two seasons, and if they don't win at Old Trafford they'll be without a victory in their first six league games for only the fourth time in the club's history. There's real quality in that squad, and one win could change the mood overnight. But at 9/4, the market is telling you he's the man who most needs it.
Michael Carrick, Manchester United
Carrick took charge in January and was handed the job permanently in the summer, with a contract to 2028. It has been a bumpy start. Five points from five games is United's joint-worst return at this stage since Sir Alex Ferguson retired, level with Louis van Gaal in 2014/15, and the derby went City's way with a 1-0 win at Old Trafford.
The Carabao Cup hurt even more. United led Brighton by two goals at home and still lost, the first time in 50 years they've been beaten after leading by two at Old Trafford. His two wins from seven games in all competitions came against Ipswich and Sabah.
For all that, Carrick has goodwill in the bank, and the van Gaal comparison cuts both ways: van Gaal won his sixth game. Beat Spurs and he's out of the firing line almost instantly.
Álvaro Arbeloa, Fulham
Arbeloa arrived on a three-year deal after a short spell in charge at Real Madrid, and three straight defeats made him the early favourite. Then came a goalless draw at Anfield on 12 September, a draw with Manchester United, and two wins from two in the Carabao Cup, which leaves Fulham in the fourth round with Crystal Palace to come at Craven Cottage.
He's still looking for a first league win, and Ipswich are next up, but the mood around the Cottage has lifted. Of the top four in the betting, he's the one we think is most likely to steady the ship.
Pierre Sage, Crystal Palace
Sage replaced Oliver Glasner in June, and it has been a testing summer, with Maxence Lacroix and Daniel Muñoz both sold. His only league win so far came at Fulham, and Palace are still waiting for a first home league win under him.
The chance to put that right is about as neat as the fixture list could have written it: Palace host Glasner's Nottingham Forest in Matchweek 6. Add Thursday nights in the Europa League and Sage has plenty of games to turn it round, but not much time on the training ground to do it.
The chasing pack
- Oliver Glasner, Nottingham Forest (10/1): a 1-0 home defeat by Coventry stung, and Forest have form for moving quickly. They sacked Nuno Espírito Santo in early September last season, and Vítor Pereira this July. The trip back to Selhurst Park is loaded.
- Frank Lampard, Coventry (12/1): a 5-0 home defeat by Brighton was a rough welcome back to the top flight, but the win at the City Ground on 19 September was Coventry's first of the season. Expectations at a promoted club are different, and we think the market has him about right.
- Gary O'Neil, Ipswich (12/1): two wins and a mid-table spot is a decent start for a promoted side. Hard to see him under real pressure soon.
- Enzo Maresca, Manchester City (16/1): five wins from five and top of the table, right at the heart of the title race. Results give the board no reason to act.