The move marks a return to the French top flight for the former France international, who began his professional career with Paris Saint-Germain at age 17.
The Eagles have been searching for a new boss since Hodgson announced in May he would step down at the end of last season when his contract expired.
Hodgson did not disclose what the next step in his career would be, but said he is ready to stop being a “full-time manager.”
Jordan Pickford remains sidelined with an abdominal problem - Ancelotti added he believes the England goalkeeper could resume training next week.
Yet, Eagles manager Roy Hodgson will be more than satisfied with a result which moves his side 10 points above the relegation zone.
A sixth consecutive win in all competitions takes Moyes's men above Liverpool in the Premier League's points table.
Mateta has scored 10 goals in 17 appearances for Mainz in the Bundesliga and German Cup this season.
With this draw, Arsenal's three-match Premier League winning run came to an end.
It was another heavy loss for Palace, which was thrashed 7-0 by Liverpool last weekend.
The English champions' first ever away win in the top-flight by seven goals laid down a marker for the challengers hoping to dethrone Jurgen Klopp's men.
Wilfried Zaha, Conor Coady were unavailable while they isolated during the coronavirus pandemic and that took its toll on their teams on Monday.
Nemanja Matic capped Manchester United's stirring fightback from two goals down as the Serbia midfielder's stunning strike snatched a dramatic 3-2 win at Crystal Palace on Monday.
Combined with Chelsea’s defeat at Manchester United, the win moved his side back into the top four despite a less than convincing performance.
Tottenham make the short journey across London to take on Crystal Palace with manager Pochettino comparing midfielder Dembele to Maradona.
Kompany suffered his third injury of the season when he limped off with a calf problem during the match against Newcastle.