Zenna - North Dallas Is located at 3950 Rosemeade Pkwy #100 Dallas, TX 75287. Call Us: 214-483-9454. Bar, Restaurant, Asian Restaurant, Thai Restaurant, Japanese Restaurant . Both Thai and Japanese foods are prepared using only the highest quality of spices and a cultural flare. Our dishes are known for those looking for a healthier way of eating. At Zenna, we strive to make your orient experience a memorable one.