Gerrard was hired as Villa boss last week after agreeing to leave Scottish champions Rangers.
Premier League: Steve Gerrard says his first game as Aston Villa manager ‘can’t come quickly enough’
The former England international's first game will be at home to Graham Potter's Brighton on Saturday, following the current international break.
The 50-year-old Smith, who was axed by Villa on 7 November after five successive defeats, takes over at Carrow Road on a two-and-a-half-year contract, the club said
Gerrard guided Rangers to the Scottish Premiership title last season.
Jurgen Klopp's Liverpool side were one game away from setting a new club record of 26 games unbeaten in all competitions but three costly errors from goalkeeper Alisson Becker cost them dear.
The Premier League club made the announcement on Sunday. Smith, who guided the club back to the top flight, has paid the price for the team’s disappointing form this season.
Adam Armstrong scored the only goal after just three minutes as he ended a nine-game goal drought in style by smashing into the top corner.
Ben Johnson scored early for the visitors only to see Ollie Watkins equalise but the Hammers reclaimed the lead before half-time through Declan Rice.
The 24-year-old right back was born in England but is eligible to play for Poland through his grandfather. His mother was born in Poland.
Partey's first half header broke the Ghana midfielder's goal drought in his 40th appearance in all competitions since his move from Atletico Madrid 12 months ago.
Fernandes was given the chance to snatch a dramatic equaliser in the final seconds at Old Trafford on Saturday. But he blasted the spot-kick high over the bar and Villa held on to win.
David Moyes' men got a measure of revenge three days after their Premier League defeat to the 'Red Devils' as Manuel Lanzini's first half goal dumped United out in the third round.
Liverpool have made an impressive start to the season, scoring 12 goals in their opening five games and conceding just once.
Lukaku scored at Stamford Bridge for the first time on Saturday as his double inspired Chelsea's 3-0 win against Aston Villa.
The 28-year-old had never netted in front of Chelsea's home fans before, but he ended that drought in the first half to the delight of the 40,000 capacity crowd.
Romero and Lo Celso are set to travel to Argentina for World Cup qualifiers against Venezuela, Bolivia and Brazil next week.
Despite the presence of Ivory Coast forward Wilfried Zaha, Palace once again drew a blank as an 86th minute goal from Ashley Fletcher condemned Vieira to his second defeat.
Jack Grealish’s final moments as an Aston Villa player saw him address his teammates and the club’s management, and it got emotional.
"Aston Villa is delighted to announce the loan signing of Axel Tuanzebe from Manchester United," said a club statement.
Premier League: Manchester City sign 'natural talent' Jack Grealish from Aston Villa in reported £100 million deal
The fee shattered the previous British record of £89 million paid by Manchester United to sign Paul Pogba from Juventus in 2016.