Left-hander opener Imam-ul-Haq, who has played four-one-day internationals, scored a century on his debut against Sri Lanka last October.
Led by Sarfraz Ahmed, the squad includes Azhar Ali, Sami Aslam, Fakhar Zaman, Imamul Haq and newcomer Saad Ali in the top order while Harris Sohail, Asad Shafiq, Babar Azam and Usman Salahuddin were included as middle-order batsmen.
"Yasir's absence is a big loss for us", said Inzamam. "If we look at his numbers for the last two years, he has more wickets than any other bowler for Pakistan".
Yasir has taken 164 wickets in 28 Test matches since making his debut in 2014 and has been instrumental in Pakistan's success - especially in the United Arab Emirates. Khan has done well in limited-overs cricket but is yet to prove his worth in whites. Other than Shadab, he is the only player in the squad capable of providing a spin option of any potency, and may find himself being turned to if Pakistan are to avoid overburdening Shadab.
Ali has been in stellar form in Pakistan's first-class circuit, having scored 3,473 runs in 50 games at an impressive 46.93. "We have tried to strengthen our batting and also considered giving a chance to youngsters [on the tour] as the next World Cup is in England".
Fawad Alam failed to make the cut after being included in an initial 25-man training squad, while a knee injury ruled out fellow batsman Shan Masood.
A single Test against Ireland in Dublin begins on 11 May, before matches against England at Lord's and Headingley.