Wolverhampton scored their goal in the 57th minute through Willy Boly who was assisted by Joao Moutinho in which Manchester City goalie Ederson had no option. Pep Guardiola side will play the Premier League's new entrants from last and this season over the space of the next five matches.
City pushed for an equaliser and they were rewarded after 68 minutes, with Aymeric Laporte powering home a header from six-yards out.
The home side exposed some chinks in City's armour that will offer a glimmer of encouragement to the rest of the Premier League. "We knew how good Wolves were last season and that they are strong with the players they have so we knew this would be a hard game already".
Neville was impressed with the approach used by Wolves in their 1-1 draw with the English Premier League champions on Saturday, and he takes the view that other sides in the top flight could learn from this example.
City goalkeeper Ederson in action during the UEFA Champions League group F match between Manchester City and SSC Napoli at Etihad Stadium on October 17, 2017 in Manchester, United Kingdom.
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City looked in ominous form to start the campaign in cruising to victory against Arsenal at the Emirates and thrashing Huddersfield 6-1 last weekend.
"The other managers decide because they know their team, they know the players, they saw our games and made a decision to play in that way".
"We're slightly disappointed we didn't come away with a win", the Wolves defender Conor Coady said.
"We are happy with the first three points after two defeats, but it's clear we need to improve", said a far from fully satisfied Emery.
"It's always good to win points but we wanted to win", he told the club's official website. But, if a few more teams whom City might be expected to beat can play like Wolves did, then everyone can look forward to a more exciting season.