Fry played the full game, while Chapman was a late substitute in the second half as a narrow win was enough to ensure they will progress into the quarter-finals of the tournament for the since time since 1993.
England went two in front with goals from Everton’s Ademola Lookman on either side of half time and looked to be cruising towards the next round.
Sub Chapman’s raking through ball brought a chance for Adam Armstrong to add a third for the Young Lions, but his effort cleared off the line.
Costa Rica clawed their way back into the contest, after Ainsley Maitland-Niles was adjudged to have committed a handball inside the box.
Randall Leal stepped up to take the spot kick and his initial strike was saved by Freddie Woodman, but the forward was quick to drive home the rebound – the first goal England have conceded with Fry on the pitch in the campaign.
Paul Simpson’s side closed out the victory and will play either Mexico or Senegal in the quarters, with the two set to face each other on June 1 (8:30am).