In a review of the album in The Santa Fe New Mexican, Steve Terrell called French Frith Kaiser Thompson "the world's most obscure 'supergroup'".[3] He says this collaboration is led by Kaiser, with his "whacky, ecclectic [sic] approach to rock", and Thompson, "break[ing] out of his own mold" and "experimenting with ... sheer craziness".[3] Terrell liked the playfulness of Kaiser's "The Nearsighted Heron" and "Days of Our Lives", and Thompson's "mock opera", "March of the Cosmetic Surgeons".[3] He also liked French's "Now That I Am Dead", although he was critical of some of French's other songs ("Invisible Means", "The Evening News" and "Suzanne"), which Terrell felt were the "low points of the album".[3] But overall, Terrell called the album "a winner", adding that he hoped there was more to come from the group.[3]
Mark Deming at AllMusic described Invisible Means as "calmer, and a bit easier to digest" than their first album, Live, Love, Larf & Loaf, but complained that it "lacks ... the playful wit and high spirits" of that album.[2] Deming added, however, that there are some "intelligent but unexpectedly conventional-sounding pop tunes" from French, some good contributions from Kaiser and Frith, and "a stunning tune", "Killing Jar" from Thompson.[2]
^Ramond, Michel; Roussel, Patrice; Vuilleumier, Stephane. "Discography of Fred Frith". New York Downtown Scene and Other Miscellaneous Discographies. Archived from the original on June 19, 2019. Retrieved September 8, 2017.