You must generate a string containing the quote character, other than as a literal. The obvious way is to use CHR$ , as in:
? "ONE ";CHR$(34);"QUOTED";CHR$(34);" WORD"
One example at http://www.c64-wiki.com/index.php/CHR%24 is very similar to this.
If you need to make a lot of them, you can save it in a variable to make the code shorter (which can make it faster or slower - if that matters, measure it yourself)
10 QU$ = CHR$(34) 20 ? "ONE ";QU$;"QUOTED";QU$;" WORD"
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