Patients with Non-STE-ACS should not be given any NSAIDs aside from aspirin...that includes COX-2 agents. These medications in patients with acute or recent NSTE-ACS have been associated with an increased risk of hypertension, reinfarction, heart failure, myocardial rupture, and death.
ACC/AHA Focused Update of the 2007 Non-STE-ACS Guidelines (Circulation 2011)