Alternatively you can play Fmaj7 as F and it should still sound good.
[Verse 1]
Am D
I heard he sang a good song,
G C
I heard he had a style,
Am D
And so I came to see him
Em Em
And listen for a while
Am D
And there he was, this young boy,
G B7
A stranger to my eyes
[Chorus]
Em Am
Strumming my pain with his fin-gers,
D G
Singing my life with his words
Em A
Killing me softly with his song
D C
Killing me softly with his song
G C
Telling my whole life with his words,
Fmaj7 Fmaj7 E E
Killing me softly with his song.
[Verse 2]
Am D
I felt flushed with fever,
G C
Embarrassed by the crowd,
Am D
I felt he found my letters
Em Em
And read each one out loud.
Am D
I prayed that he would finish.
G B7
But he kept right on...
[Chorus]
Em Am
Strumming my pain with his fin-gers,
D G
Singing my life with his words
Em A
Killing me softly with his song
D C
Killing me softly with his song
G C
Telling my whole life with his words,
Fmaj7 Fmaj7 E E
Killing me softly with his song.
[Verse 3]
Am D
He sang as if he knew me
G C
In all my dark despair
Am C
And then he looked right through me
Em Em
As if I wasn't there
Am D
And he just kept on singing
G B7
Singing clear and strong
[Chorus]
Em Am
Strumming my pain with his fin-gers,
D G
Singing my life with his words
Em A
Killing me softly with his song
D C
Killing me softly with his song
G C
Telling my whole life with his words,
Fmaj7 Fmaj7 E E
Killing me softly with his song.
Source: https://tabs.ultimate-guitar.com/tab/olivia_ong/killing_me_softly_with_his_song_chords_1855887