Chelsea kept up their title charge in the Premier League by easily beating 10-man West Brom, with Diego Costa scoring his league-leading 11th goal of the season.
Mourinho has declared Costa finally free of the hamstring injury but admitted to concerns about how he would cope with their marathon of games for the rest of 2014.
Bosque has no doubts about the commitment of Costa and other members of his squad following the suggestion from Ramos that they are not giving their all.
Chelsea had to come from behind to secure a ninth victory in 11 games after German midfielder Emre Can scored for Liverpool from a deflected shot in the ninth minute.
Liverpool are at seventh place - 12 points behind Chelsea - and showing none of the form that took the team to a second-place finish last season.
Chelsea striker Costa was dropped from the Spain squad for the European Championship qualifier next week while he nurses a groin injury.
Chelsea's leading scorer Costa is fit for Saturday's London derby at home to Queens Park Rangers, said manager Jose Mourinho.
Costa has overcome his hamstring problem and illness and is likely to be in Chelsea's starting squad against Manchester United in the EPL at Old Trafford on Sunday.
Diego Costa, Ramires and John Mikel could all return to the Chelsea squad for their Premier League clash with United at Old Trafford.
Costa absence should not stop Chelsea staying in command of Group G of the Champions League, with the Premier League leaders big favourites to beat Maribor.
Del Bosque predicted Costa would be a key performer for Spain in coming years after the Brazil-born forward ended his long wait for an international goal on Sunday.
Costa scored his first goal for Spain in seven appearances to help the defending European champion ease to a 4-0 win at Luxembourg on Sunday.
Costa will be the focal point in attack as a new look Spain seek to win the European Championship for a third straight time.
Costa netted 36 goals for Atletico in 2013-14 and has nine in nine appearances this term for Chelsea.
Eden Hazard opened the scoring for Chelsea in the 27th minute, coolly slotting home a penalty past Arsenal keeper Wojciech Szczesny.
Striker Diego Costa was called up by Spain on Friday for European Championship qualifying despite the fitness concerns of Chelsea manager Jose Mourinho.
Diego Costa's blistering start owes much to the style and setup at Chelsea already crafted by Mourinho over the course of last season.
After his eighth goal in six games, continued Costa's unprecedented start to any Premier League career and helped Chelsea cement a place atop the table.
Costa scored his eighth goal in six Premier League games to help give Chelsea a 3-0 win over Aston Villa and consolidate top spot in the standings.
Mourinho also confirmed that Costa will start against Aston Villa at Stamford Bridge on Saturday.
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