Cacic, unpopular with numerous Croatia players and most fans, was dismissed after Friday's 1-1 home draw with Finland left their hopes of reaching next year's tournament in Russian Federation hanging in the balance.
Croatia are second in the group, two points behind leaders Iceland and ahead of third-placed Ukraine on goal difference.
Have you read Trendiee Today? Cacic gave a hopelessly incomprehensible interview after the game, reeling in front of the camera as he inexplicably referred to Finland as Iceland throughout.
Croatia boss Ante Cacic has been sacked.
"Dalic is the new national head coach and he will be in charge for the match in Ukraine", CFF President Davor Suker said on Saturday afternoon at the ad-hoc news conference held in Zagreb.
He has also coached in the Croatian domestic league at Varteks Varazdin, NK Rijeka, and Slaven Belupo. We have 17 points, still can reach the play-offs.
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That has consequences for Great Britain's Johanna Konta, who is battling Garcia for the last spot at the WTA Finals. Asked by AFP what those were, she smiled: "I tell you one, only one: to win a Grand Slam, which you know".
Last night's draw means that Croatia have endured an Ireland-esque falter: after a flying start, they have picked up just four points in their last four games.
The result left Croatia at risk of missing out on the 2018 World Cup and needing to beat Ukraine on Monday in order to have any chance of automatically qualifying for the tournament next summer.
And while Cacic bumbled, Croatia's superstar, Luka Modric, fumed to the media about his coach. "I am confident we can get a good result in Ukraine", Suker said about the Dalic's chances of a long-term stay at the Croatian bench.
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