Definition of crying call
A crying call is often a call made on the river. It can also be made on the flop when a player is all in. A crying call is a call that we make with the idea that it is probably mathematically winning, even though we don't often have the best hand when we call. We have the calls we make when we are very happy, for example with the nuts on the river, we have the clear folds we need to make, and we have the games in between. The crying call is never easy. It could be translated as "a crying call".
Some additional information on the crying call
In short, when we cry-call, it's like saying to ourselves: "I probably don't have the best hand, but it's mathematically winning to call, I have no choice". We can also cry-call in a situation where we have (for example) the best hand 10% of the time, but given the size of the pot, we have no choice but to call. For example, on the river, a player bets, you have the ace flush and raise big. However, your opponent pushes all in. The board is even and this player is not bluffing much. Presumably, he has a full hand. You won't often have the best hand, but the pot is too big to give up, so you make a crying call.