Anderson, 49, had been interim CEO since April. She was previously chief financial officer.
"Following a national search over the past six months, we have decided that Kerrii is our best choice for CEO," said Chairman Jim Pickett. "Kerrii has demonstrated excellent leadership skills. As interim CEO, she began a transformation of the Company, improved Wendy's performance, developed a new strategic plan and executed several transactions that will continue to create value for shareholders."
The Dublin, Ohio, burger chain said it will begin a search for a new chief financial officer, and will consider both internal and external candidates.
"I look forward to continuing to lead this great brand and consider it a privilege to work with the entire Wendy's system," said Anderson. "Our highest priority is to build on our positive momentum and significantly improve profits in every Wendy's restaurant in the system.
"In my first 100 days, working with our team and our board, I will further analyze every facet of the business to identify additional core growth and profit opportunities for every restaurant in our system, beyond those already announced, for both the short term and the long term," Anderson said. "Once this work is completed, targets will be established for management's short-term and long-term incentive compensation.
"Our store-level profit performance has been unacceptable over the past few years and we are committed to producing profit margins that are similar to the best restaurant companies that focus on superior operations and financial performance for both company and franchised restaurants," Anderson said. "We will do this by driving same-store sales and creating more efficiency in the restaurants."
Shares fell 28 cents late Thursday to $34.28.