Narine, 35, announced his retirement from international cricket in 2023, four years after playing his last match for West Indies against India
"Debutant Jeremy Solozano was stretchered off the field after receiving a blow to his helmet while fielding," Cricket West Indies tweeted.
"He has been taken to the hospital for scans. We are hoping for a speedy recovery."
Sri Lanka captain Dimuth Karunaratne pulled a short delivery from Roston Chase in the 24th over and the ball smacked the grille of Solozano's helmet at short leg on day one of the contest.
Solozano removed his helmet and lied down, surrounded by worried teammates and both the Sri Lankan batsmen at the Galle International Stadium.
Shai Hope came in as the substitute fielder in the first match of the two-Test series.