All four are under the age of 22 but Murray has every confidence that they can perform at the Syma Sport and Event Centre in Budapest next month.
"I have named a very young and promising team. All are 22 or under and that bodes well for the future," she said.
"The Euro Africa Zone is notoriously tough to get out of but we have managed to reach the World Group II play-offs for the last two consecutive years.
"Our aim in 2014 is to win through to the World Group II which would give us a number of home and away ties and that would really help us to promote women's tennis through this fun team competition."