Enrique will return to the role for Euro 2020 after originally stepped away from the job earlier this year due to personal reasons.
"After what has happened in these last few days and after the agreement reached on Tuesday November 19, I feel the need to release a statement to thank the support [I have] received in these months [in charge] and say my goodbyes as coach of the national team," Moreno's statement read.
"Facing an extreme situation such as the one we experienced in Malta, I had to assume the management of the everyone's team. The objective of qualification [for Euro 2020] that I committed myself to has been achieved in comfortable fashion. If only this situation had never come about. Now we would be equally qualified.
"Valuing [my] last hours in charge of even last days, I would only serve to enter a spiral of reproaches and justifications for each of the parts. I'm not going to do it. I don't see any point.
"I have a clear conscience. It's impossible to thank everyone, but I [want to] say that I sincerely respect everyone and their opinions. I've always been a man of my word, that I wouldn't stand in Luis Enrique's way if he decided to return to coach. This is what I've done even though I've taken my exit. I wish him all the best because his joys will be ours."