Arteta, whose side open their Premier League campaign at Fulham on Saturday, said he had no concerns about bringing in a player in his 30s.
Arsenal defeated Chelsea 2-1 in the finals of the FA Cup at Wembley Stadium to script their record 14th FA Cup title win.
In their previous clash, Arsenal had thrashed Premier League champions, Liverpool, by 2-1.
Arteta, who was appointed as the head coach of Arsenal in December last year said that he admires the way Liverpool manager Jurgen Klopp has transformed the side.
Ozil was left out of the Arsenal squad for Wednesday's 0-3 defeat at Manchester City due to "tactical" reasons.
After Southampton and West Ham announced wage deferral agreements with their players, Arsenal went one step further by securing the pay cut from Arteta and the first-team squad.
The spread of coronavirus is continuing to wreak havoc all around the world and has forced the postponement of various competitions including the 2020 Tokyo Olympics.
Arsenal have closed their training ground as a result of Arteta's positive test, with Gunners players and club staff who had recent contact with the Spaniard now forced to self-isolate.
Arteta conceded that fielding such an inexperienced line-up could have put Arsenal's only chance of silverware this season in jeopardy.
Arteta has worked hard to repair the damage and the signs were promising in Saturday's 1-1 draw against Sheffield United.
The 25-year-old Englishman, who first choice for England at the 2018 World Cup under Gareth Southgate, is desperate for more time on the field ahead of the Euro Cup finals later this year.
Ozil played in an advanced role against Chelsea, forming a front four alongside Alexandre Lacazette, Pierre-Emerick Aubameyang and Reiss Nelson.
Leading through Pierre-Emerick Aubameyang's early goal at the Emirates Stadium, Arteta was just seven minutes away from securing his first victory in his second game in charge.