Euro 2012 - Parker trains for England despite injury
The Tottenham player was troubled by an Achilles problem during the latter part of the domestic season. But he was able to participate after the squad met up to launch preparations for their Euro 2012 campaign, although the extent of his involvement is not being revealed at this juncture.
Hodgson has to decide whether he thinks Parker is fit enough to play a full part in Poland and Ukraine by May 29 - the final UEFA deadline for squads to be announced.
Liverpool defender Glen Johnson and Manchester United striker Danny Welbeck sat out the 90 minutes closed session in what was described as a precautionary measure. But both are expected to train later this week before England fly out to Oslo for the friendly international with Norway on Saturday.
Welbeck suffered a bruised leg in United's penultimate Premier League clash with Swansea two-and-a-half weeks ago.
Hodgson had the chance to address the players at their city centre base before training for the first time since he was appointed as head coach three weeks ago.
The former West Brom boss has 19 days and friendly internationals against Norway and Belgium to hone his plans and ideas before the Euro 2012 opener with France on June 11.
They will not report for duty until next Tuesday while Manchester United striker Wayne Rooney is working to the same schedule after playing with a minor injury during the latter part of the campaign.