Grant's side are in the semi-finals of the Africa Cup of Nations but that has not stopped some Ghanaians expressing dissatisfaction with the performances.
"Every player had has criticism at one time or another. I would like that to change," said the Israeli.
"I don't know why they target players. I would like them to respect the payers, who are giving everything."
Ghana are seeking an elusive fifth Nations Cup title in Gabon - their last came in 1982.
And they are showing the kind of resilience and quality necessary to end that 35-year wait, having beaten DR Congo 2-1 in Sunday's quarter-final to reach the last four.
But some people have questioned whether the team is sufficiently equipped to go all the way, and Aston Villa forward Jordan Ayew appears to be the focus of the doubters' negativity.
"Jordan is having a great tournament," Grant countered. "He gave a great assist to Asamoah Gyan against Mali and scored a great goal against DR Congo in the quarter-final.
"Also his performance statistics are great and they show he is running a lot. He is answering his critics on the pitch."
The Black Stars will meet Cameroon on Thursday for a place in the final.
"It will be very tough, we saw Cameroon's quarter-final win over Senegal and they played very well," Grant said.
"Cameroon will have one more day rest than us but we've shown we can deal with difficulties.
"My team is improving, every game we get fitter and sharper. And this team has a big heart."

The 21-year-old has made 35 appearances for the north London club since making his senior debut in 2012.
Tompkins was part of the England Saxons squad which secured a series win in South Africa earlier this summer.
"Nick has a very bright future in the game," said Sarries director of rugby Mark McCall.

South Yorkshire Police and Humberside Police and are to cut the number of dogs and handlers to a combined total of 25.
The South Yorkshire force will halve the size of its current dog unit, with 12 officers and dogs being lost as part of the restructuring.
The new operation will have two bases in Sheffield and one in Melton, East Yorkshire.
Humberside Police said it currently had 12 dogs and handlers.
South Yorkshire Police said that the move was "required to meet budgetary cuts imposed on the Force's Operational Support Services".
In August, the force said it needed to make savings of Â£59m by 2020, with the potential loss of 1,500 staff.
A spokesman for South Yorkshire Police said: "Police dogs and their handlers provide a range of important roles in helping to keep the public safe.
"Whilst we are reducing the size of the unit in South Yorkshire, by merging with Humberside, it allows us to maintain the same number of officers and dogs and continue to perform a valuable role for the public, yet at the same time we can still meet the savings required due to the unprecedented cuts."
The merger of the dog units is one of a number of cost cutting measures introduced by police across Yorkshire in the last few years.
Two years ago , Humberside Police disbanded its mounted unit, with horses now hired in from other forces when needed.
All four Yorkshire forces now share an underwater search unit.
Ghana coach Avram Grant says his team deserve respect following criticism by some fans and sections of the media.
[NEXT_CONCEPT]
Saracens centre Nick Tompkins has signed a new three-year contract with the Premiership and European Champions Cup winners.
[NEXT_CONCEPT]
Two police forces in Yorkshire are to merge their dog units to reduce costs.