The 24-year-old was one of three Saints to make Hodgson's 28-man squad, joined by team mates Rickie Lambert and Adam Lallana.
Rodriguez has been capped once for the Under-21s and midfielder Lallana has figured at U-18, U-19 and Under-21 level.
Liverpool's Jordan Henderson returns to Hodgson's set-up. Captain for the last U-21s European Championship campaign, the midfielder will hope to build on his senior caps, the most recent coming against Italy at Euro 2012.
The 23-year-old's Anfield team mate Glen Johnson also returns after missing England's recent fixtures due to injury.
Squad:
Goalkeepers: Fraser Forster, Joe Hart, John Ruddy
Defenders: Leighton Baines, Gary Cahill, Ashley Cole, Kieran Gibbs, Phil Jagielka, Glen Johnson, Phil Jones, Chris Smalling, Kyle Walker
Midfielders: Ross Barkley, Michael Carrick, Tom Cleverley, Steven Gerrard, Jordan Henderson, Adam Lallana, Frank Lampard, James Milner, Andros Townsend, Jack Wilshere
Forwards: Jermain Defoe, Rickie Lambert, Jay Rodriguez, Wayne Rooney, Daniel Sturridge, Danny Welbeck
(Writing by Ossian Shine, editing by Ed Osmond)
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