The Lionesses survived a number of close calls on their way to defending their continental crown but the defender felt that the quarter-final against Sweden - in which the team fought back from 2-0 down before prevailing on penalties - typified the never-say-die spirit of the squad.
Morgan told ESPN Futbol W: "I think sometimes you just get weird feelings that you can't really explain but they possess how you feel emotionally in that moment.
"And I just felt throughout that game [the quarter-final] even when we went 2-0 down that it wasn't our time to go home.
"So there was just this sense of calm and I think we have a lot of belief in our team, in the talent that we've got ... That we can turn any deficit around and we're capable of beating anyone."
Full-back Lucy Bronze scored the goal that started England's comeback against Sweden and Morgan hailed the player as a "freak" after it emerged that she had played through the tournament with a fractured tibia.
The Washington Spirit player said: "When you look around the pitch and see players like Lucy [Bronze], such an incredible leader, incredible competitor, a warrior.
"She lives for those moments where the team is counting on her, relying on her to pull out a moment of brilliance and that's what she did to get the goal that started off the comeback."
Morgan left Manchester City in 2024 to ply her trade in the US and has embraced the different challenges that come with playing football in the country's National Women's Soccer League (NWSL).
She said: "The play-offs was a huge thing for me because playing in Europe that's not something that lives within the structure of the season.
"Our play-off journey last season was so special.
"The atmosphere at those two games was electric and I was like, 'OK this is what American play-offs are like' - all the drama and excitement and I'd say that for me is what sums up the league, its chaos at times but its so much fun to be a part of and I'm so glad that I came here."