The United States has the best medical care in the world, so people should not panic over the first case of Ebola diagnosed in the country, a survivor of the deadly disease told CNBC on Wednesday.
"Don't panic, and allow the CDC and the doctors to work in a way that they know. They have treated Ebola here now and they have had the opportunity to see how the virus acts," said Nancy Writebol, a missionary nurse who fell ill while in Africa this summer.
"You have doctors on the ground who know how to care and how to find contacts that may have come in contact with the sick person."
Read MoreUS Ebola spread won't be like Africa's: Experts
Writebol was rushed to an Atlanta hospital in August and was discharged later that month after blood and urine tests showed no evidence of the virus. She told "Closing Bell" she is "feeling good."
On Tuesday, the Centers for Disease Control and Prevention confirmed the first case of Ebola in the U.S. The patient, Thomas Eric Duncan, who traveled from Liberia on Sept. 19, is being treated at a Dallas hospital.
Writebol said the patient was likely experiencing fever, weakness and perhaps some vomiting.
Read MoreWhat preppers are doing about Ebola
"It just depends on how the virus has attacked his body," she noted.
Duncan began to develop symptoms last Wednesday and went to the hospital two days later, but was sent home. He was admitted on Sunday.
Read MoreEbola: A closer look at this 'frightening disease'
Writebol said the most important thing doctors should find out is who the patient has been in contact with.
"It's about where people have been and their contacts. Those are very important questions. What kind of symptoms are you having and knowing the symptoms that are part of the Ebola virus," she said.