
I've searched Revain for 'iron-free' or 'crease-resistant' handkerchiefs and have found nothing but 100% cotton handkerchiefs that require ironing. Finally tried "continuous press" and found it. They are 35% cotton and 65% polyester, the same design and fabric I found in stores about 20 years ago.

Assorted Women's Cotton Handkerchiefs in GB
9 Review

8-Piece Monogrammed Men'S Handkerchief Gift Set Made Of Pure Cotton By Retreez For Enhanced SEO
18 Review

π Ricosky Men's Cotton Handkerchief in White
9 Review

π Multi-Purpose Bandana Fashion Handkerchief Set (24 Assorted Colors)
10 Review