Yes. Ayodhya has Jain temples (derasars) dedicated to Adinath (Rishabhdev).

• The Digambar Jain temple at Raiganj (often called Badi Murti) in Ayodhya has a prominent 31-foot statue of Adinath. ( ayodhya.nic.in)

There are also other Adinath-related sites in Ayodhya and nearby, including temples associated with Adinath’s birthplaces (and other Tirthankaras like Ajitnath) in different parts of the city. For example, temples in Awas Vikas Colony (Ahinandan Nath) and other Digambar temples in Ayodhya mark Adinath and other Tirthankaras’ birthplaces. ( jainmandir.org)

If you’d like, I can summarize these locations more specifically.