Jarrar, who teaches in the English department, actually wrote a series of tweets condemning Bush, who died at the age of 92 after a battle with lung disease and congestive heart failure.
For its part, Fresno State extended its "deepest condolences to the Bush family".
According to the Fresno Bee, Jarrar encouraged her critics to tag Castro in tweets, and wrote, "What I love about being an American professor is my right to free speech, and what I love about Fresno State is that I always feel protected and at home here".
The comments from Professor Randa Jarrar are wholly inappropriate and out of line.
Her "war criminal" remark appeared to be a reference to Barbara's son George W. Bush, who followed his father George H.W. into the White House and started the Iraq War in 2002.
Zelezny said that while the university respects diverse opinions, they want them to be in a quote 'climate of respect'. That is, before she made her Twitter account "Private" - which is to say, only those whom she approves can see her tweets. "We acknowledge the severity of her statements and take very seriously the concerns expressed throughout the community", Jarrar's tweets calling the Bush "an awesome racist", a "witch", and wishing her family to "fall to their demise" have prompted some to call for her termination.
The university also held a press conference the morning of April 18 where Lynnette Zelezny, vice president of academic affairs, said Jarrar's statement that she couldn't be fired was not true. She is now on leave of absence for the semester. "And the answer to that is no", she said.
In honor of Bush´s life, President Donald Trump ordered that the U.S. flag be flown at half-staff until sundown on the day she is buried, at all public buildings and grounds, as well as military posts and vessels. Jarrar has tenure, but President Castro says all options regarding potential disciplinary actions are on the table.
The university provost said Jarrar can be fired.
Twitter users called on Fresno State President Joseph Castro to address the comments.
Jarrar was hired at Fresno State in August 2010 as an associate professor, but is not teaching the spring 2018 semester, Zelezny said.