The credit inquiry will appear on the applicant’s credit file, however, it will not have a significant impact on their credit score, since this is not a credit application.
These types of credit checks don't impact the credit score since they are not loan applications. If the applicants apply for multiple loans or credit cards on the same day, that may lower their credit score as the bureau will deem them as credit hungry. That doesn't apply to rental credit checks, so it won't have much of an impact.
All inquiries will stay there for 3 years: https://www.consumer.equifax.ca/personal/education/credit-report/how-long-does-information-stay-on-my-credit-report/#:~:text=Most types of negative information,credit report for 3 years