This trial is studying the use of a new drug (called DZD8586) to treat people with B-cell Non-Hodgkin Lymphoma who have relapsed, progressed, or were intolerant to prior therapyA Phase 1, Open-label, Multicenter Study to Evaluate the Safety, Tolerability, Pharmacokinetics, and Anti-tumor Efficacy of DZD8586 in Patients With Relapsed or Refractory B-cell Non-Hodgkin Lymphoma (B-NHL)

Exclusion

1. Any unresolved > Grade 1 adverse event at the time of starting study treatment with the exception of alopecia.
2. Prior history of allogeneic hematopoietic stem cell transplantation
3. Stem cell transplantation, cell therapy, or gene therapy within 90 days. Approved small molecule therapy within 5 half-lives, investigational small molecule therapy within 14 days. Monoclonal antibodies and antibody-drug conjugates within 28 days Radiation therapy within 1 weeks
4. Live attenuated vaccines or viral vector vaccines within 4 weeks. Major surgery or significant traumatic injury within 4 weeks. History of stroke or intracranial hemorrhage within 6 months
5. Participants with non-CNSL presence of CNS or intraocular lymphoma lesions.
6. CNSL participants with systemic presence of lymphoma, unable to complete lumbar puncture, under systemic corticosteroids at a dose > 8 mg/day (dexamethasone equivalent dose) within 14 days or requiring immunosuppressive or biologic therapy."
7. Participants with infectious disease:
8. Clinically significant cardiac disorders or abnormalities
9. Another malignancy within 5 years prior to enrollment with the exception of adequately treated in-situ carcinoma of the cervix, uterus, basal or squamous cell carcinoma or non-melanomatous skin cancer.
10. Refractory nausea and vomiting if not controlled by supportive therapy, chronic gastrointestinal diseases, inability to swallow the formulated product or previous significant bowel resection that would preclude adequate absorption
11. Women who are breast feeding
12. Psychological, familial, sociological, or geographical conditions that do not permit compliance with the protocol