The Greeks only lost once in qualification but missed out on an automatic qualifying spot by goal difference to Bosnia and Herzegovina.
With the political issues currently dominating headlines in Greece, Santos believes a play-off victory over Romania will provide a boost to the struggling nation.
"It is the most important, because it's very important for us, it's very important for the people, and my team and my players, and I'm sure they will try a lot to give this present," Santos said on Monday.
The Portuguese tactician's only other appearance at a major international tournament with the country came in 2012, as Greece proceeded to the quarter-finals of the European Championships.
Santos would love to emulate that achievement in Brazil but he did admit that before his side are to be successful, he needs to do his homework on opponents Romania.
"I think the most important thing is to learn Romania, because I don't know many things about Romania, and I need to learn much," the 59-year-old said.
"After that my team is ready to play this game, because these two games are very important for us."
The two sides will meet on November 15 in Greece, before they travel to Romania for the second leg, just four days later.
Get the best features, fun and footballing frolics straight to your inbox every week.
Thank you for signing up to Four Four Two. You will receive a verification email shortly.
There was a problem. Please refresh the page and try again.