transitive verb
Definition 1
Cause to be disturbed or disconcerted; daunt.
Source: Invertext, from dictionary.reference.com.
Context: Pronouncements by Mr Putin [the Russian prime minister] on foreign policy, which is nominally [the president's] Mr Medvedev's domain, do not seem to faze the president.
Source: Financial Times 14/04/2009 (Charles Clover)