On I Love Lucy (1951), Ricky was under contract to MGM to make "Don Juan", just as Lucille Ball and Desi Arnaz were for The Long, Long Trailer (1954) and Forever, Darling (1956).
When talking about the film to George Murphy, Desi Arnaz reminds home viewers that Forever, Darling (1956) is in color. This is because this show was filmed and broadcast in black and white.
During the show, George Murphy stands in front of an American Flag. At this point in the United States' history, there were only 48 states, so the stars on the flag also number 48 and, therefore, are differently configured. I Love Lucy (1951) and The Lucy-Desi Comedy Hour (1957) both would mention the statehoods of Alaska and Hawaii, with the Ricardos and Mertzes traveling to Nome to mark the occasion in February 1959.
George Murphy's introductions and interviews were set in an office decorated with Oscars, plaques, and a lion puppet in a tux nicknamed 'Little Leo' inspired by the roaring lion that started every MGM film. Murphy and his guests often would converse with the puppet during the show. In Ricky's European Booking (1955), Ricky Ricardo is seen recording the song "Forever Darling" with the Pied Pipers, further blurring the lines between Desi Arnaz, Ricky Ricardo, and Lorenzo Vega. Little Leo is sitting on a chair by the studio door and Ricky gives him a pat on the head as he leaves the room. In some syndicated versions of the episode, the moment has been edited out.
During the light banter it is clear that Lucille Ball is the one in charge, a bit of role reversal from the domestic comedy of I Love Lucy (1951).