This is a mystery interview, as we don't know where it was broadcast nor what TV station made it.

It was probably filmed in her hotel on the same day as the Live It Up! interview because Frida wore the same clothes. 

Luckily, three short segments of it are available on the efootage.com site. Based on the information supplied there, it's just a theory that if CTV  Television Network and Global Television Network made 1-1 interviews, then a 3rd channel can be Citytv.

* City (formerly known as Citytv) is a Canadian television network owned by the Rogers Media subsidiary of Rogers Communications (not to be confused with CTV).

Archive data from http://www.efootage.com/
Master ID: 60894
Title: FRIDA LYNGSTAD FROM ABBA – 1
Date: 1982
Keywords: celebrity celebrities star stars famous popular well known entertainment entertainer entertainers singer singers luminary luminaries somebody hero heroes superstar superstars attraction attractions attractive big Frida ABBA Lyngstad Anni-Frid interview interviews interviewed interviewing album albums group groups musical 1982 82 ‘82 1980s 1980’s pop
Description: An interview with Anni-Frid Lyngstad (Frida) from the musical pop group ABBA. She talks about the albums the have coming out.

Frida Interview 1982
Master ID: 60895
Title: FRIDA LYNGSTAD FROM ABBA – 1
Date: 1982
Keywords: celebrity celebrities star stars famous popular well known entertainment entertainer entertainers singer singers luminary luminaries somebody hero heroes superstar superstars attraction attractions attractive big Frida ABBA Lyngstad Anni-Frid interview interviews interviewed interviewing album albums group groups musical 1982 82 ‘82 1980s 1980’s pop
Description: Frida Lyngstad of the pop group ABBA talks about her break-up with Benny, another member of the group.

Frida Interview 1982
Master ID: 60896
Title: FRIDA LYNGSTAD FROM ABBA – 3
Date: 1982
Keywords: celebrity celebrities star stars famous popular well known entertainment entertainer entertainers singer singers luminary luminaries somebody hero heroes superstar superstars attraction attractions attractive big Frida ABBA Lyngstad Anni-Frid interview interviews interviewed interviewing album albums group groups musical 1982 82 ‘82 1980s 1980’s pop
Description: Frida Lyndstad of the pop group ABBA talks about how she changed after she broke up with her husband Benny, another member of the group.

Thanks to Bernd Scheiber and Jozsef.
YouTube link c/o fridafan1