There are scriptures that talk about forgiving those who ask for forgiveness but this one says something different :
Mark 11:20 Now in the morning, as they passed by, they saw the fig tree dried up from the roots. 21 And Peter, remembering, said to Him, "Rabbi, look! The fig tree which You cursed has withered away."
22 So Jesus answered and said to them, "Have faith in God. 23 For assuredly, I say to you, whoever says to this mountain, 'Be removed and be cast into the sea,' and does not doubt in his heart, but believes that those things he says will be done, he will have whatever he says. 24 Therefore I say to you, whatever things you ask when you pray, believe that you receive them, and you will have them.
25 "And whenever you stand praying, if you have anything against anyone, forgive him, that your Father in heaven may also forgive you your trespasses. 26 But if you do not forgive, neither will your Father in heaven forgive your trespasses."
Verse 25 is connected to the previous verses by the word "and". Verse 24 talks about asking in faith when praying, the next verse talks about forgiving people before attempting to ask in faith. But in this verse there is no mention of people asking to be forgiven, only the fact that there is someone whom we have something against and whom we need to forgive from our hearts.
Does that mean forgive as in forget ? If someone has done us wrong and is still intent on doing us more wrong, should we pretend that that is not the case, befriend the person, take down our defenses and let them do what they want ? It doesn't mean that. Trust is earned. But forgiveness starts at a more fundamental level in the heart where we release the trespasser from our need for revenge and to God's justice, which could include the justice of society. Having done that, it is easier for restoration to happen when someone does ask for forgiveness with genuine intentions. Restoration doesn't necessarily mean a renewed friendship or relation but it does mean that things can be put to rest.