If you have a US credit score, any potential lender initiating a credit inquiry may slightly lower your overall U.S. credit score temporarily. It can take several months for your U.S. credit score to bounce back up. If you make multiple inquiries in a short amount of time (primarily during 30 days), they will be treated as a single inquiry and, therefore, have a relatively small impact on your score.
You can visit Transunion to learn more about how multiple inquiries affect credit scores.