The eradication of Helicobacter pylori, the etiologic agent of gastric ulcer and adenocarcinoma, is a big concern in clinics due to the increasing drug resistance phenomena and the limited number of efficacious treatment options. The exploitation of the H. pylori carbonic anhydrases (HpCAs) as promising pharmacological targets has been validated by the antibacterial activity of previously reported CA inhibitors due to the role of these enzymes in the bacterium survival in the gastric mucosa. The development of new HpCA inhibitors seems to be on the way to filling the existing antibiotics gap. Due to the recent evidence on the ability of the coumarin scaffold to inhibit microbial α‐CAs, a large library of derivatives has been developed by means of a pH‐regulated cyclization reaction of coumarin‐bearing acyl thiosemicarbazide intermediates. The obtained 1,3,4‐thiadiazoles (10–18a,b) and 1,2,4‐triazole‐3‐thiones (19–26a,b) were found to strongly and selectively inhibit HpαCA and computational studies were fundamental to gaining an understanding of the interaction networks governing the enzyme–inhibitor complex. Antibacterial evaluations on H. pylori ATCC 43504 highlighted some compounds that maintained potency on a resistant clinical isolate. Also, their combinations with metronidazole decreased both the minimal inhibitory concentration and minimal bactericidal concentration values of the antibiotic, with no synergistic effect.