Prefix/suffix property of language containing only empty word

Does language $$L ={\varepsilon}$$, where $$\varepsilon$$ - empty word has suffix/prefix property?

The definition says that language has prefix/suffix property requires that there is no code word in the system that is a prefix (initial segment) of any other code word in the system.

So if we have this finite language with $$\varepsilon$$ this mean that, there arent any prefix/suffix of empty word so our language has or not prefix/suffix property?

You probably mean $$L=\{\varepsilon\}$$, i.e. the language which contains only the empty word, as opposed to the empty language. Both the empty language and the language which contains only the empty word have the prefix/suffix property, since they satisfy the definion.
Edit rici is right that Hopcroft&Ullman say that the LR(0) grammars define exactly the DCFL's having the prefix property. (They hasten to add that the prefix property is not a severe restriction.) So in this case it is good that the empty language and the language which contains only the empty word have the prefix property. Additionally, Berstel&Perrin allow the empty set as a code, so you can also dispute my other claim. But they agree that $$\{\varepsilon\}$$ has the prefix property, and is not a code:
Proposition 2.1.9 Any prefix (suffix, bifix) set of words $$X\neq \{\varepsilon\}$$ is a code.
Both Hopcroft&Ullman and Berstel&Perrin consider $$\varepsilon$$ to be a prefix/suffix of any word, but they require a proper prefix/suffix in the definition of the prefix/suffix property. (This is clearly the right thing to do, otherwise no set of words would have the prefix/suffix property.)