You should be using a GROUP BY clause, which will allow you to use aggregate functions like SUM()
for each variation in the column by which you are grouping. In your case, this might look like this:
SELECT
season,
COUNT(*) AS total,
SUM(goals) AS sumgoals,
SUM(assists) AS sumassists,
SUM(minutes) AS summinutes
FROM `player`
WHERE gametype='club'
GROUP BY season
ORDER BY season DESC /* or ASC whichever you wish */