Officials called the Premier Division game at Sergeants Lawn off after 73 minutes with Corinthians leading 4-1 after a Holbeach player was injured.
Sparrow said: “The lad picked up a calf strain and the Holbeach management told him not to get up.
“He lay there for about 15 minutes until the match was called off and a minute or so later, he was back on his feet.
“It was a farce.
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“The referee and assistant referee told me afterwards the result will stand and it has to.
“The league have to make the decision and there’s only one decision they can make.
“I will lose all respect for the officials and the league if they get away with this.
“The league have to do their job. That cannot happen again.
“If they get away with this, we will never lose a match. Every time we are losing, I will get one of our lads to lie down and refuse to get up.”
Sparrow says his players were “absolutely outstanding” against Holbeach.
Corinthians fell behind early on and hit back through goals from Ryan Goodband, on his return to the side, Kalon Peniasko, Dom Page and Jordan Henson.
Sparrow now wants to see a similar performance when they host Peterborough Northern Star tomorrow (Saturday).
That’s followed by a home date with Sileby Rangers on Tuesday night.
Sparrow added: “These are two big games for us.
“And it’s up to the players to maintain the standards they set on Tuesday night.”
Wellingborough Town have problems at home they need to put right.
A 2-1 defeat to Northampton Spencer at the Dog & Duck in midweek leaves the Doughboys just three points above the Premier Division drop zone.
Of the 14 games they have left this season, 10 are at home, starting with the visit of Yaxley this weekend.
But Wellingborough have lost their last four matches in front of their own fans at the Dog & Duck.
“This is something we have to put right,” said assistant-manager Stuart Goosey.
“Your ground should be your fortress, but even though we’ve lost a few at home, the morale is still good.
“I would like to think we can get something from the game on Saturday and then build on it.”
The Doughboys were dealt another blow during the Spencer defeat, which came just three days after Wellingborough had triumphed over the same opponents by the same scoreline at Kingsthorpe Mill.
Mark Pryor was taken off with a knee injury and Goosey expects him to be out for four to six weeks.
Desborough Town boss Chris Bradshaw has challenged Harry Beckley to fulfil his potential at the Waterworks Field.
Bradshaw this week completed the signing of the 20-year-old midfielder and he goes into the squad for the home date with third-placed Newport Pagnell Town tomorrow.
Beckley has been at Cogenhoe in recent months andBradshaw said: “I’ve worked with Harry before and I’ve told him it’s time to settle down and fulfil his potential.
“He has to stick at a club, work hard and listen. If Harry delivers, we could have a very good player.”
Beckley joins a club who have been beaten just once in their last nine games.
Last weekend, it took a Luke Cummins strike deep into injury-time to salvage a point against Wisbech Town.
Bradshaw added: “Because we scored so late, it felt like a win for us.
“We definitely didn’t deserve to lose the match. We had most of the clear-cut chances.
“Wisbech are probably the best footballing side we’ve played this season and we more than matched them.
“We have come a long way in the last few weeks.”
Pagnell promise to be a good test this weekend. They have taken 10 points from their last four games and earlier this season, they overturned a 2-0 deficit to beat Ar Tarn 4-2.