I was so moved by his performance, it made my heart flutter.
I was so touched by her speech, it felt like my heart was fluttering.
胸がふるえることは flutter を使って言うのが良いかなと思います。
ーI was so moved by his performance, it made my heart flutter.
「彼のパフォーマンスに感動して、胸が震えた」
ーI was so touched by her speech, it felt like my heart was fluttering.
「彼女のスピーチに感動して胸が震えているようだった」
ご参考まで！
カナダ 
