Less than a week ago boss Brendan Rodgers publicly criticised his younger players after their 3-1 FA Cup exit to League One Oldham.
Three days later he signed the 20-year-old Brazilian, who is now on his fourth professional club in three years, for £8.5million.
Critics of the Liverpool 'project' under Rodgers and American owners Fenway Sports Group have argued there is too much emphasis placed on potential when what they need is experience.
The oldest player Rodgers has signed since taking over in June is Oussama Assaidi - and he was only two days past his 24th birthday - and the addition of another youngster raised some eyebrows after Rodgers' recent comments.
But Pascoe said Coutinho was a different prospect.
"He has played a lot of games from a young age," said the Welshman, standing in for Rodgers who was in London attending his son Anton's court case.
"What we have got there is a young talent who has played a lot for Inter Milan and Espanyol.
"He is a young lad but what we have seen of him he can handle this type of pressure and he will be a good asset for us.
"The young lads who have come through have been absolutely brilliant but he has a lot of experience.
"He plays wide left, he can play as a number 10, and he likes to take defenders on and has a great awareness of his team-mates.
"He has to sort a few things out in Milan but he'll be back next week and he'll be ready to start straight away and he will be a great addition to the squad."
Rodgers tried to do his homework on Coutinho by asking the opinion of Reds midfielder Lucas Leiva, his compatriot.
"The manager spoke with me but not to ask about his talents as I think he was sure about that already," the Brazil international told the Liverpool Echo.
"He just wanted to know what I knew about Coutinho as a person. I only had positive things to say."
Despite failing to sign Blackpool winger Tom Ince after a month-long pursuit Pascoe insisted they were satisfied with the business done.
"The targets we wanted we got. With Coutinho and Daniel (Sturridge) coming in it enhances the squad," he added.
"We are very happy with the window."
Pascoe also said they were happy with striker Luis Suarez, who has scored 17 Premier League goals this season, saying he wanted to be at the club for the long term even though the likelihood of playing in the Champions League was a slim one next season.
"It is great news, it is as simple as that," he said.
"He loves Liverpool, loves being here, he signed a new contract in the summer and he is arguably in the best form of his life under Brendan.
"We are glad he signed his contract and he is playing for us."
The Uruguay international has quickly struck up a partnership with Sturridge and Pascoe believes there is plenty more to come from it.
"In training and from the matches you can see them looking for each other to link up," he said.
"Good players will always find half-a yard with their partner and it has been great so far.
"Good players will gel together and Daniel and Luis are good players.
"When they get on the pitch the football takes over and the football brain and football finesse means they gel together."
Suarez, having stressed his desire to remain at Anfield, has shrugged off reports Pep Guardiola has made him a priority target when he takes over as Bayern Munich boss in the summer.
"We all know how important Guardiola is and the many things he won at Barcelona. He must know a thing or two about football," he told Uruguayan radio station Sport 890.
"But if I'm being honest, I don't ever stop to read what is being said about me in the press - it would drive me mad as I'm linked to so many clubs.
"The day a concrete offer comes for me to the club, we will sit down and do what's best for everyone.
"But I'm happy here. The Premier League is the best league there is.
"I watch a lot of football in my spare time but the most attractive for me is English football - I want to stay here. I'm very happy here."
Suarez, often criticised for going to ground too easily and who last month admitted diving in a game against Stoke, often feels he is misunderstood.
But he thinks the situation is starting to change, at least on the pitch.
"Referees here in England are trying to understand what I say and understand the way I play football, and that's a good thing," he added.