On September 1, 2016, Peter Moore have ruled out against remastering their games, including Mass Effect. He claimed that they would rather move forward with their upcoming games, with remasters distracting from that.
Womp womp.
Do note that this was quoted before Patrick Soderland's interview regarding the potential for a remastered version.
UPDATE: Now EA are considering making a remaster after a lot of demand from the last interview.