You respond to a “resume received” email by sending a brief acknowledgement email to the hiring manager, in which you thank them for reaching out to you, state your willingness to answer any questions they may have, and repeat your contact details so that the hiring manager can quickly find them.
Here’s an example of how to respond to a “resume received” email:
Dear [Mr./Ms./Mx.] [Hiring Manager’s Surname],
Thank you for letting me know you’ve received my resume and cover letter. I hope that we’ll have the chance to discuss my application in detail during an interview. In the meantime, I can be reached at (123) 456-7890 or firstname.lastname@example.org if you have any questions.
Note that “resume received” emails are sometimes sent automatically by applicant tracking systems. You can usually tell if this is the case if the email address is something like email@example.com or if the email says it’s autogenerated. In such cases, there’s no need to respond to a “resume received” email.