The Blues remain on course for a fifth FA Cup win in seven seasons after Ba's second-half strike earned a 1-0 quarter-final replay win over Manchester United and set up a last-four Wembley clash with 2011 winners Manchester City on April 14.
Chelsea interim boss Rafael Benitez afterwards admitted a top-four place in the Barclays Premier League is the over-riding priority this term - the consequences of missing out on Champions League football could be cataclysmic for the 2012 European Cup winners - but Ba wants to win the first trophy of his career too.
The 27-year-old January signing from Newcastle said: "The Champions League is very important, but we want to win some trophies as well.
"We know that we are doing very well in two competitions, the FA Cup and Europa League, and we're going to do everything to win them both.
"I've not yet won a trophy. I'm looking for it and I'm looking forward to the semi-final.
"We're going to play against one of the best teams in the country (City), and it's going to be a tough one. But we will go there to win."
- Sports & Recreation
- Barclays Premier League
- Champions League
- Manchester United