When referring to a single chord or a very short sequence, the functional name can be used:
"The 'one' chord in bar 67", "The progression from dominant to submediant in bar 12."
However for longer progressions this gets cumbersome:
Say: I, I6, IV, ii6, V64-53, I
Could be: "One, one-six, four, two-six, five six-four, five-three, one."
If you are using chords or sequences that have a name, you could also just use the name if it is easier to identify:
Examples: Neapolitan 6th, Italian 6th, German 6th, French 6th, horn call.
If you are talking in general of theoretical applications, you could omit saying the Roman numeral and only refer to the inversion:
"This passage is an example of 'six-three' chord techniques"
"Insert a cadential 'six-four' at the cadence in bar 16"
When talking about chord quality types you could say:
"Seventh chord, ninth chord, half-diminished chord"
In contrast, scale degrees for individual notes or melodies, often notated with a ^ over the Arabic numeral can be differentiated by pronouncing:
"First degree, second degree, third degree" etc.
Or use their names:
"Tonic, supertonic, mediant" etc.