Stones has been out since he suffered a pre-season muscle injury and City are also without midfielder Bernardo Silva and have Rodri serving a three-match ban while Kevin De Bruyne is long-term injured.
No financial details were disclosed but British media reported that City paid Wolves about 53 million pounds ($67.20 million) for the 25-year-old.
Raphael Varane scored the only goal in their Premier League opener but Wolves were convinced they should have had a spot kick deep in added time, which O’Neil insisted highlighted a grey area in how the Video Assistant Referee is used.
Costa, 34, was a free agent after leaving Premier League side Wolverhampton Wanderers in June and will sign a four-month deal with Botafogo, who are dominating the Brazilian league with 14 wins in 18 games, building a 12-point lead atop.
"At 40 years of age, O'Neil becomes the Wolves' youngest manager this millennium and is the first permanent British coach to lead the club in six years, bringing Premier League experience after playing and managing at this level," Wolves said in a statement.
"What an unbelievable journey. A big thank you to every single person I had the chance to work with, every single moment was unforgettable," a tearful Neves said in an emotional farewell video.
Johnson alleged Podence, who scored Wolves' equaliser, had spat at him in the 90th minute of the match. The incident was checked by VAR at the time and no action was taken against the 27-year-old but the Portuguese player was charged on Wednesday.
Liverpool climbed into sixth spot in the table on 39 points, ahead of Fulham on goal difference and with a game in hand, but the home side were forced to work hard on a rainy night at Anfield.
The 29-year-old, who had spells at Fulham and Southampton, returns to English football after making 58 appearances since 2021 for Nice.
The 30-year-old Mexican international completed a remarkable recovery in playing the whole of Wolves's 1-0 defeat by Leicester in their opening Premier League match.
Wolverhampton Wanderers reached the FA Cup semi-finals for the first time since 1998 by beating last year's runners-up Manchester United 2-1 with a clinical second-half display in an intense atmosphere at their Molineux stadium on Saturday.
Wolverhampton Wanderers lost one million pounds per week pursuing promotion to the Premier League last season, the Midlands club revealed on Tuesday.
Wolverhampton had a great run in the competition this season; the team collected 29 points out of 39.