Polyetherethersulfones with double bonds inserted along the main polymer chain are synthesized by polycondensation. The glass transition is modulated by increasing the size of aromatic etherethersulfone rigid blocks and decreasing the ratio of flexible allyl segments which contain a double bond. Resulting copolymers have a Mn of up to 60 000 g mol−1, moderate polydispersity indices (Đ or Ip) of 1.70 to 2.11, and are shown, by the presence of a single glass transition temperature in differential scanning calorimetry and by matrix‐assisted laser desorption/ionization time‐of‐flight (MALDI‐TOF) mass spectrometry, to be random. The glass transition of copolymers follows the Gordon–Taylor relationship. The thermal resistance of copolymers increases when decreasing the amount of the flexible segment and increasing the length of the rigid block. Chemical aging of films is investigated by immersion in bleach, which is commonly used to clean membranes. Films show high resistance to bleach, therefore making this approach relevant to membrane fabrication.