Gordon Strachan's side would become the first Scotland team to go through a qualifying campaign without victory should they fail to collect three points in any of their remaining four games.
The Scots are yet to win a game in Group A but Rhodes is determined to help change their fortunes.
"We don't want to be the squad that goes down in history for the wrong reasons," he told the Daily Record.
"There's not been a Scotland side yet who has gone through a competition without a win and we want to stay out of those books if we can."
Rhodes' last goal for Scotland came in November's friendly win over Luxembourg and he is still looking to open his World Cup qualifying account.
"I haven't scored in a competitive game but I'll try my best if I'm selected for this one," the striker said.
"It doesn't matter who scores. If I get one I'll be delighted, but if it's an own goal or a scrappy one, I'll be happy for Scotland."
Earlier in the week, Croatia were accused of complacency when striker Ivica Olic said the hosts were hoping to "win by two or three goals," but Rhodes says their attitude will not affect Scotland's game.
"I've heard a couple of things. I've heard it maybe lacked respect but I don't know who has said what," he said.
"I'm sure it won't change our mentality to go and do the best we can on a professional front. We have to be disciplined mentally and physically."