Oshoala scored a brace on Sunday as Barcelona Ladies thrashed Real Sociedad 10-1 to clinch the maiden Spanish Women’s Super Cup in Salamanca.
And speaking BBC Sport after the win, Oshoala said: “To add the Super Cup to last year’s Copa Catalunya was a great experience.
“But my professional priority is to keep doing well and winning, so I can’t take my eyes off the targets.
“We still have the league, Uefa Women’s Champions League and the Spanish Cup to contest this season as a team.”
Unbeaten Barcelona currently sit atop the Primera División as they seek their first league title in five years.
They will face title rivals Atletico Madrid in the quarterfinals of the Uefa Women’s Champions League next month.
Oshoala who netted a late consolation for the Catalan club in their 4-1 loss to French side Lyon in last year’s continental final is keeping her feet firmly on the ground.
“Individual ambition is same as a collective one for the team this season,” she added.
“We do not have the satisfaction yet because we’re challenging for success in all competitions, so we need to keep going.”