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 bounce back up. If you make multiple inquiries in a short amount of time (primarily during a 30-day period), they will be treated as a single inquiry and will, therefore, have a relatively small impact on your score.
You can visit Transunion to learn more about how multiple inquiries affect credit scores.