In
Time, Raisa Bruner viewed "Swan Song" as a "clear battle anthem" where Lipa's "mellifluous" voice adds "weight and smoothness, and a welcome human element". She concluded by stating it echoes a "mix of electronic rhythms and a touch of the real". Ryan Reed of
Rolling Stone called the song "cinematic" while
Uproxx's Chloe Gilke named "Swan Song" a "powerful", "confident, anthemic banger" and Lake Schatz of
Consequence viewed it as a "defiant number". For
Idolator, Mike Nied named "Swan Song" a "soaring anthem" with a "suitably epic production" that "could easily be [Lipa's] next song to dominate the charts". In
Popjustice, Peter Robinson praised the "creative and luxurious production" that is "sparse where it needs to be and full of dramatic and unpredictable little flourishes" while also complimenting how the song fades out at the end. Writing for
Audacy, Michael Cerio viewed the song as a "sweeping epic, building like a battle hymn into a banger". "Swan Song" was nominated for
Best Original Song at the
24th Satellite Awards. In February 2019, "Swan Song" debuted at number 25 on the
UK Singles Chart. In its third week, the song reached a peak of number 24. It spent a total of eight weeks on the chart. The
British Phonographic Industry (BPI) awarded the song a silver certification in November 2021 for selling 200,000 track-equivalent units in the UK. In Ireland and Scotland, the song had respective peaks of numbers 24 and 27. Additionally, the song reached number 50 in Belgium (Flanders), 63 in Portugal, 67 in Sweden and 96 in Switzerland. In 2020, the song was awarded a gold certification from the
Polish Society of the Phonographic Industry (ZPAV) for track-equivalent sales of 10,000 units in Poland. It reached number 99 in both Canada and Germany. In the United States, the song spent five weeks on the
Billboard Bubbling Under Hot 100 Singles chart, peaking at number four. In Oceania, it reached number 68 in Australia and entered the NZ Hot Singles chart at number five. == Music video ==