The trio took no part in England's 75-run defeat in the first of a four-match series at Lord's on Sunday.
Pakistan claim victory over England at Lord's after 20 years
But Anderson, England's all-time leading Test wicket-taker, and Stokes have both been passed fit following their respective shoulder and knee injuries.
Meanwhile Rashid, yet to play a home Test, could feature as a back-up or even an alternative to Moeen Ali after the off-break bowler came in for some harsh treatment by Pakistan's batsmen at Lord's.
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Anderson and Stokes helped prove their fitness by taking part in the ongoing County Championship match between Lancashire and Durham at Southport, near Liverpool.
Army chief congratulates team on Test victory
England squad
Alastair Cook (Essex, capt), Alex Hales (Nottinghamshire), Joe Root (Yorkshire), James Vince (Hampshire), Gary Ballance (Yorkshire), Jonny Bairstow (Yorkshire, wkt), Ben Stokes (Durham), Moeen Ali (Worcestershire), Chris Woakes (Warwickshire), Stuart Broad (Nottinghamshire), James Anderson (Lancashire), Adil Rashid (Yorkshire), Steven Finn (Middlesex), Jake Ball (Nottinghamshire)
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