Exhibit 99.3
CONSENT OF PROBANK AUSTIN
March 27, 2020
Board of Directors
FCB Corporation
100 West High Street
Manchester, Tennessee 37355
ProBank Austin hereby consents to the inclusion of our fairness opinion, dated January 23, 2020, delivered to the board of directors of FCB Corporation, as Appendix C to the proxy statements/prospectus forming a part of this Amendment No. 1 to the Registration Statement onForm S-4 of CapStar Financial Holdings, Inc., as the same may be amended from time to time (the “Registration Statement”), and to references to our firm and such opinion, and summaries thereof, in such proxy statements/prospectus. By giving such consent, we do not admit that we come within the category of persons whose consent is required under Section 7 of, or that we are experts with respect to any part of the Registration Statement as the term “expert” is used in, the Securities Act of 1933, as amended, or the rules and regulations of the U.S. Securities and Exchange Commission promulgated thereunder.
Sincerely,
PROBANK AUSTIN
/s/ ProBank Austin
Louisville, Kentucky