[8] Although McCartney declined to release the song as a single in 1970, it nonetheless received a great deal of radio airplay worldwide.

[9] A promotional film was made, comprising still photographs of McCartney, his wife Linda, stepdaughter Heather, and daughter Mary;[9] it aired in the UK on 19 April 1970 on ITV in its own slot, and later as a part of an episode of CBS's The Ed Sullivan Show.

In a late 2009 Q&A with journalists held in London to promote his live album Good Evening New York City, McCartney said "Maybe I'm Amazed" was "the song [he] would like to be remembered for in the future".

[12] In a review for the McCartney album on release, Langdon Winner of Rolling Stone described "Maybe I'm Amazed", as "a very powerful song", that states "one of the main sub-themes of the record, that the terrible burden of loneliness can be dispelled by love.

"[13] In a retrospective review for McCartney, Record Collector has highlighted "Maybe I'm Amazed", along with "Every Night" and "Junk", as songs that "still sound absolutely effortless and demonstrate the man's natural genius with a melody".

[15] While McCartney's former bandmate George Harrison admitted that he did not care for the album, he conceded in an interview that he thought "Maybe I'm Amazed" was "great".