All three were part of the squad that lifted the Women's FA Cup in May and helped win the Continental Cup in 2015.
Spanish side Atletico Madrid signed versatile winger Corredera on Friday.
Ex-Barcelona players Corredera and Losada, both 25, joined Arsenal last term after Natalia had made the switch from Bristol Academy in December 2014.
Losada's next club is not yet confirmed, while Natalia, 31, said on social media she was set for a new challenge in Madrid.
Spain international striker Natalia and midfielders Marta Corredera and Vicky Losada have all left Women's Super League club Arsenal Ladies.