However, this is not a recommended procedure to use in general. It loses the flexibility of the DSOs that allow one to simply drop in a new mechanism that even currently-running applications will see for each new connection. That is, if you choose to use the static version of the library, not only will you need to recompile the library each time you add a mechanism (provided the mechanisms even support being compiled staticly), but you will need to recompile every application that uses Cyrus SASL as well.
However, if you are sure you wish to use a static version of Cyrus SASL, compile it by giving configure the --with-staticsasl option. This will compile both a dynamic and a static version. Then, whenever an application links to libsasl, it will also need to explicitly pull in any dynamic libraries that may be needed by Cyrus SASL. Most notably, these might include the GSSAPI, Kerberos, and Database libraries.