Group A of the 2014 Fed Cup Europe/Africa Zone Group III was one of four pools in the Europe/Africa Zone Group III of the 2014 Fed Cup. Three teams competed in a round robin competition, with the top team and the bottom two teams proceeding to their respective sections of the play-offs: the top team played for advancement to Group II.

		EST	ARM	NAM	RR W–L	Set W–L	Game W–L	Standings
63	Estonia		3–0	3–0	6–0	12–0	73–16	1
85	Armenia	0–3		1–2	1–5	2–10	30–63	3
95	Namibia	0–3	2–1		2–4	4–8	38–62	2

Estonia 3	Tere Tennis Center, Tallinn, Estonia[1] 5 February 2014 Hard (indoors)		Namibia 0
1 2 3 1 Anett Kontaveit Kerstin Gressmann 6 2 6 0     2 Kaia Kanepi Lesedi Sheya Jacobs 6 1 6 1     3 Eva Paalma / Tatjana Vorobjova Lesedi Sheya Jacobs / Liniques Theron 7 5 6 2

Armenia 1	Tere Tennis Center, Tallinn, Estonia[2] 6 February 2014 Hard (indoors)		Namibia 2
1 2 3 1 Lusine Chobanyan Kerstin Gressmann 2 6 3 6     2 Ani Amiraghyan Lesedi Sheya Jacobs 6 2 6 0     3 Ani Amiraghyan / Milena Avetisyan Lesedi Sheya Jacobs / Liniques Theron 65 77 2 6

Estonia 3	Tere Tennis Center, Tallinn, Estonia[3] 7 February 2014 Hard (indoors)		Armenia 0
1 2 3 1 Anett Kontaveit Ani Safaryan 6 0 6 0     2 Kaia Kanepi Ani Amiraghyan 6 0 6 0     3 Eva Paalma / Tatjana Vorobjova Lusine Chobanyan / Ani Safaryan 6 3 6 2

• Fed Cup website