A mortar shell exploded near Ozer, hitting him in a leg and arm.
Ozer was taken to the Kirikhan State Hospital in the border province of Hatay.
According to the T24 news portal, İzmir police detained Kartal late on Friday night at his office in İzmir's Çiğli district due to his tweets and media reports criticizing the Turkish government for the recent military operations in Syria.
"Why are certain [Western] countries trying to ignore the terrorists' actions?"
The Syrian Observatory for Human Rights, a monitoring group, confirmed that 68 civilians, including 21 children, have been killed in Afrin in the Turkish operation. "Do [the Turkish civilians] have to be terrorists for you to protect their rights?" Turkey considers the YPG, the armed wing of the PYD, to be an extension of the Kurdistan Workers Party which has waged a decades-long insurgency in Turkey's mainly Kurdish southeast.
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Ankara launched a cross-border offensive into Afrin on January 20 to rout the Syrian Kurdish militia it says is linked to insurgents fighting inside Turkey.
Turkey's military launched an incursion into northern Syria's Afrin region against the US -backed YPG militia two weeks ago.
The killed suspect, 26, received training in the areas held by Kurdish People's Protection Unit in Syria, and entered Turkey illegally, the statement said.
More than 300 people have been detained over social media posts that "criticised, opposed or misrepresented" the Afrin campaign, which started almost two weeks ago, the government has said.