Qualcomm, which was charged by the European Commission for using anti-competitive methods to squeeze out British phone software maker Icera, last month asked the Luxembourg-based General Court to suspend the order.
The Commission welcomed the court verdict, while Qualcomm declined to comment.
The company said the EU competition authority's demand entailed enormous work and significant financial costs estimated at no less than 3 million euros as it involved more than 50 employees and 16 external advisers, according to its court filing.
Court President Marc Jaeger dismissed the appeal in a July 12 ruling.
"The applicant does not claim that its financial viability would be at risk or that its market share could be affected substantially," he said.
"Furthermore, it does not give any explanation as to why it would be impossible to seek compensation for the alleged financial costs it would suffer by answering the questions."
Qualcomm faces a second EU antitrust charge of making illegal payments to a major customer for exclusively using its chipsets since 2011.