On Friday afternoon, Dallas Police Chief U. Renee Hall requested a manslaughter warrant for the officer.
Authorities say the police officer had finished a shift and was returning home, still in full uniform, when she apparently entered the wrong apartment - Jean's apartment.
The 26-year-old officer told investigators she thought she had entered her own residence, the statement said.
In what he called "just a preliminary statement", Dallas Police Sgt. Warren Mitchell said officers "still have a lot to do in this investigation".
The officer who shot Jean has not been publicly identified and was placed on leave.
Police issued a news release Friday saying the shooting happened Thursday night at an apartment complex at 1210 South Lamar.
Jean graduated in 2016 with a degree in accounting and management information systems from Harding University, where Bertram Jean said his son got the Arkansas school to send students to St. Lucia over the summer to do charity work.
"We have reassured them that we are working diligently and that we have invited an outside agency to investigate this", she said. DPD says they are conducting a joint investigation with the DA. "And then the woman's voice calling 911", Jean's next door neighbour Alyssa Kinsey said.
"This speaks to the culture of policing in America", said Dominique Alexander, a Dallas activist and president of Next Generation Action Network.
This photo from 2014 shows Botham Jean speaking at Harding University where he often led campus worship services. It's located just a few blocks from police headquarters.
"He was involved in a wide variety of ways, primarily serving in places where help was needed", Cana Moore, a former classmate at Harding, told The Christian Chronicle.
"How can this nasty world take you away from me.this is the worst day of my life thus far.uncle loves you so much", he wrote.
Hall said she had spoken with Jean's sister and offered the family condolences.
"Botham was a very wonderful young man", Bertram Jean said.
Jean, a native of St Lucia, was listed on LinkedIn as a risk assurance experienced associate at PricewaterhouseCoopers. She walked into what she thought was her own home, and saw a man there who she didn't recognize.
"This is a bad tragedy", the company wrote on Facebook.