Synonyms of unflappable

1 Syllable
set, stoic
2 Syllables
well-set, speechless, constant, cold-fish, easy
3 Syllables
sedate, nonchalant, cool-headed, serene, relaxed, unruffled, untroubled, collected, controlled, iceberg, equable, passive, coolheaded, composed
4 Syllables
monophonic, unflustered, unshakable, unfaltering, unwavering, impassive, levelheaded, unexcited, self-possessed, monochrome, nonresistant, level-headed
5 Syllables
unagitated, unimpressible, disimpassioned, dispassionate, imperturbable, inexcitable, unperturbable, deliberate