All three London clubs are locked in a battle to finish in the top four of the Barclays Premier League, with Wednesday's showdown at Stamford Bridge set to play a key part in the final outcome.
Following the Gunners' 1-0 win at QPR on Saturday, which followed on from Spurs victory over Southampton, goalkeeper Szczesny claimed their bitter rivals "do not have enough quality" to finish ahead of them.
Villas-Boas, though, insisted those comments were misplaced - and questioned the status of the 23-year-old, who has been at Arsenal since 2008, to make such bold remarks.
"He is entitled to his opinion. It is absolutely fine. You don't expect love from an Arsenal player to Tottenham player. If it touches a bit lack of respect, it is normal in a rivalry," the Portuguese said.
"I think it would have been a little more tolerable if it had come from a genuine Arsenal fan.
"Coming from an Arsenal player, he is an Arsenal player who is probably only passing by to another club, or who is not going to stay there for life. In the end if he means exactly those words from the heart.. he doesn't, for sure.
"I wouldn't say that an Arsenal fan (player) that has just arrived in that club for the last couple of years is entitled to so much hatred towards Tottenham like he seems to have."