Those games are in between two Champions League fixtures and an worldwide break.
Emery has succeeded Arsene Wenger, who left Arsenal after 22 years in charge.
United, who begin their season at home to Leicester City, were the only team to claim three points at the Etihad against Guardiola's champions last season, with Paul Pogba inspiring the visitors to a 3-2 victory in April having trailed 2-0 at half-time.
"We are so excited to have the date of the first Premier League match at our new stadium", he said. The coaching staff were keen to place a home game within the early fixtures so we shall have one home game at Wembley.
The games against Manchester United will first be staged at the Etihad Stadium on 10 November, while the game across the city at Old Trafford will be featured on 16 March.
The Blues' defence of the Premier League title kicks off with one of the toughest of tests - a trip to Arsenal.
Liverpool to be first opponents at Tottenham’s new stadium
Their first major fixture of the season will then be with Tottenham Hotspur on September 15, while the first clash with Manchester United is scheduled for December 15 at Anfield.
None of the teams involved in the Champions League will know the extent of their travels until the draw for the group stage, which does not take place until August.
City have seven league games (plus the final Champions League group match and a potential Carabao Cup encounter), kicking off with Bournemouth at home on 1 December.
However, the Reds are still some way from being a Premier League-winning outfit.
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