The Black Stars have taken a lot of stick for unconvincing displays in recent games, with the likes of Jordan Ayew and John Boye singled out on various occasions.
Interestingly, Grant's comments coincide with heavy backlash on goalkeeper Razak Brimah, who took to social media to hit back at his critics - going as far as using the F-word.
"Every player has had criticism at one time or another. I would like that to change," Grant told the BBC.
"I don't know why they target players. I would like them to respect the players, who are giving everything. Jordan is having a great tournament.
"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."
Brimah has been handed a fine of $2,500 by the Ghana Football Association for his outburst.
Many Ghanaians are calling for the immediate dismissal of Brimah from camp, like Sulley Muntari and Kevin-Prince Boateng, who were both expulsed from the Brazil 2014 for disrespectful offences.
The Cordoba man is, however, likely to maintain the No.1 spot when the Black Stars play Cameroon in the semi-finals of the Afcon on Thursday.