PLT IN A PA28 AT SNA CLAIMS THE CTLR ISSUED A CLRNC TO CROSS THE RWY AT AN INTXN. WHILE XING; A B737 WAS STARTING HIS TKOF ROLL.

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I WAS HOLDING AT INTXN K FOR RWY 19R AT SNA. THE TWR WAS POSITIONING A B737 ON RWY 19R AT INTXN L. I WAS OBSERVING THIS AND EXPECTED TO HOLD UNTIL THEY DEPARTED AND THEN I WOULD BE DIRECTED TO CROSS THE R RWY AND DEPART ON RWY 19L. I HEARD THE FEMALE CTLR SAY; 'ACFT X CROSS THE R;' AND I ACKNOWLEDGED; 'ACFT X XING THE R.' THEN I PROCEEDED TO CROSS RWY 19R. AS I WAS XING I SAW THE B737 BEGIN TO MOVE. I EXPEDITED MY XING AND STOPPED BTWN RWY 19R&L AND THE FEMALE CTLR SAID; 'ACFT X WHAT ARE YOU DOING?' I SAID; 'YOU TOLD ME TO CROSS.' THEN A MALE CTLR GAVE ME INSTRUCTIONS TO MAKE A 180 DEG TURN; THEN CHANGED THAT TO REMAIN WHERE I WAS AND THEN I WAS CLRED TO TAKE OFF ON RWY 19L AND STAYED IN THE PATTERN FOR PRACTICE LNDGS AS I HAD REQUESTED. I COMPLETED APPROX 6 TOUCH-AND-GOES AND AFTER DEPARTING THE RWY ON FINAL LNDG; A MALE CTLR GAVE ME THE PHONE NUMBER TO CALL. I CALLED AND I WAS TOLD I WAS NOT CLRED TO TAXI ACROSS RWY 19R. I ASKED WHAT DID THE TAPE HAVE. HE SAID IT ONLY HAD MY COMMENT; 'YOU TOLD ME TO CROSS' IN RESPONSE TO THE FEMALE CTLR'S QUESTION TO ME. I HAVE BEEN FLYING OUT OF SNA FOR OVER 20 YRS AND I AM VERY FAMILIAR WITH THE PROCS HERE. I ALWAYS READ BACK TWR INSTRUCTIONS BEFORE EXECUTING ANY ACTION. THIS INCIDENT COULD HAVE BEEN AVOIDED IF CTLR HAD STATED I WOULD BE CLRED TO RWY 19L AFTER THE B737 DEPARTED. THIS WOULD HAVE NOT SET THE SCENE FOR A MISUNDERSTANDING.