Shareholders of Credit Suisse and UBS were not granted a vote on the deal that was sealed over one weekend in March.
Officials for QIA, UBS, the Swiss finance ministry and Credit Suisse declined to comment.
QIA's investment in Credit Suisse dates back to the global financial crisis of 2008.
The sovereign wealth fund had increased its stake in Credit Suisse to just under 7%, only trailing largest shareholder Saudi National Bank's roughly 10% stake, according to a January filing.
Among them, Middle Eastern backers which own more than 20% of Credit Suisse face the largest hit.