Arsenal met Thomas Partey’s £45million buy-out clause on transfer deadline day to bring the 27-year-old to north London.
The Gunners have been champions of England 13 times but have not won the title since 2003-04.
New Arsenal signing Partey said: ‘Everybody is wanting to win all the trophies that can be won. That’s my goal also.
‘‘It’s something that’s difficult but we’re working towards it and we’re ready. We have to go all out and try and achieve all I have said.
‘‘That’s the objective of the club and myself. We have to get back to where we belong.’’
Arsenal have won five FA Cups in recent years and only finished eighth in the Premier League last term.
Under Mikel Arteta, Arsenal won the Community Shield in August.
‘‘It’s a great challenge,’ added the Ghanaian midfielder, who won the Europa League with Atletico.
‘‘I want to experience new challenges. I’m ready to give it my all and help this club.
‘‘They [manager Mikel Arteta and technical director Edu] told me about their plans and it was so exciting so I had to accept it. I feel great to be here.’’