( CNN ) -- Alex Ferguson achieved it on his Old Trafford debut but David Moyes has had to wait a little longer . After a mixed start to the Premier League season ( win/draw/loss ) and a vaguely farcical conclusion to the transfer window , United 's new boss can now quietly rejoice after his first home win . A win was always on the cards . Their opponents -- Premier League new boys Crystal Palace -- last won a league fixture at the `` Theatre of Dreams '' way back in 1989 . And United had n't lost to a newly-promoted side on home soil for 12 years . The first of United 's two goals came courtesy of a controversial penalty awarded on the stroke of half time when Kagisho Dikgacoi was adjudged to have brought down Ashley Young . The South African midfielder was giving his marching orders by the referee before Robin van Persie calmly converted the spot kick . Read more : Bale scores on Real Madrid debut . Ten-men Palace did well to deny United more goals for most of the second half , but a decisive second eventually came courtesy of a Wayne Rooney free-kick nine minutes from the end . The English striker , who returned to action after gashing his forehead in training late last month , fired home from 25 yards to ensure all three points for Moyes ' team . Read more : Eto ' o : 'It 's not about the money ' `` Like any manager , to win a game , there 's always an element of relief . I 'm pleased to get the first win out of the way , '' Moyes said . `` I think if we had lost I do n't think I 'd have been talking to much about it , but we won today ... '' The victory comes ahead of a vital week for the new manager . Moyes takes charge of United in the Champions League for the first time on Tuesday against Bayer Leverkusen before traveling across town to play Manchester City the following Sunday . Manuel Pellegrini 's City side , who have also made a stuttering start to the season , dropped points against Stoke City on Saturday playing out a goalless draw at the Britannia Stadium . Mourinho blues . Jose Mourinho tasted league defeat for the first time since returning to Stamford Bridge in the summer as Everton recorded a famous 1-0 win over the Blues at Goodison Park . Steven Naismith headed in from close range moments before halftime to give the Toffees the lead which they held despite a second-half onslaught from a Chelsea side that included new signing Samuel Eto ' o . Roberto Martinez 's first league win as Everton manager lifts the Merseysiders up to ninth in the table while Chelsea drop to sixth . Elsewhere , Mesut Ozil made his first appearance for Arsenal since moving from Real Madrid for Â£42.2 million ( $ 67 million ) . The German international helped the Gunners to a 3-1 win against Sunderland at the Stadium of Light . Olivier Giroud opened the scoring in the 11th minute before a Craig Gardner penalty put the home side level three minutes after the break . But two goals in ten minutes from Aaron Ramsey saw Arsene Wenger 's side seal their third league win on the trot . Tottenham Hotspur were also comfortable winners on Saturday beating Norwich City 2-0 at White Hart Lane . Gylfi Sigurdsson gave Spurs fans something to cheer about in the post-Bale era . The Icelandic international scored in each half to give Andre Villas Boas his third win in four league matches . Newcastle United recorded a second consecutive win with a 2-1 away to Aston Villa while the games between Hull City and Cardiff City and Fulham and West Bromwich Albion both ended in 1-1 draws . Southampton entertain West Ham United on Sunday . Liverpool will look to maintain their 100 % record when they travel to Swansea on Monday evening .
David Moyes secures first home win as Man Utd beat Crystal Palace 2-0 . Mesut Ozil makes debut for Arsenal against Sunderland . Two second-half goals from Aaron Ramsey help Gunners to a 3-1 win . TL;DR